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<title>MADlib: matrix_ops.sql_in File Reference</title>
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<div class="title">matrix_ops.sql_in File Reference</div>  </div>
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<p>Implementation of matrix operations in SQL.  
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Functions</h2></td></tr>
<tr class="memitem:a0535b01f414f5d61153abca8b3cd94fa"><td class="memItemLeft" align="right" valign="top">text&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a0535b01f414f5d61153abca8b3cd94fa">matrix_info</a> (text message)</td></tr>
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<tr class="memdesc:a83e1d5e2c8cd598084c6d21fdce83ae7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies two matrices. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column index.  <a href="#a83e1d5e2c8cd598084c6d21fdce83ae7">More...</a><br /></td></tr>
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<tr class="memitem:aad615ae2da39bf15c8032eacb8330a74"><td class="memItemLeft" align="right" valign="top">integer []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#aad615ae2da39bf15c8032eacb8330a74">matrix_ndims</a> (text matrix_in, text in_args, boolean is_block)</td></tr>
<tr class="memdesc:aad615ae2da39bf15c8032eacb8330a74"><td class="mdescLeft">&#160;</td><td class="mdescRight">get the ndims of a matrix in an array format  <a href="#aad615ae2da39bf15c8032eacb8330a74">More...</a><br /></td></tr>
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<tr class="memdesc:a1cbb83dad451e7c36033c0f3df0a22e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds two matrices. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column index.  <a href="#a1cbb83dad451e7c36033c0f3df0a22e0">More...</a><br /></td></tr>
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<tr class="memdesc:aa9b1f1554e98d3ab8f04d203f99fd651"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subs two matrices. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#aa9b1f1554e98d3ab8f04d203f99fd651">More...</a><br /></td></tr>
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<tr class="memitem:a2a8806e11141e8cc5a3fa0c6b1b9e62a"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a2a8806e11141e8cc5a3fa0c6b1b9e62a">matrix_sub</a> (text matrix_a, text a_args, text matrix_b, text b_args, text matrix_out)</td></tr>
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<tr class="memitem:a61fef136d511ac92153223f590ee596f"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a61fef136d511ac92153223f590ee596f">matrix_extract_row</a> (text matrix_in, text in_args, integer index)</td></tr>
<tr class="memdesc:a61fef136d511ac92153223f590ee596f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract row from matrix given row index. It requires that all the values are NON-NULL. This is the dense or sparse representation of the matrix where the matrix elements are indexed by row id for dense and by the row and column id for sparse.  <a href="#a61fef136d511ac92153223f590ee596f">More...</a><br /></td></tr>
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<tr class="memitem:a65963c0f5721af6f785f65083152c64c"><td class="memItemLeft" align="right" valign="top">text&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a65963c0f5721af6f785f65083152c64c">matrix_extract_row</a> ()</td></tr>
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<tr class="memitem:a1f3b0f7a3bbbab7b22f8ae545cf46255"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a1f3b0f7a3bbbab7b22f8ae545cf46255">matrix_extract_col</a> (text matrix_in, text in_args, integer index)</td></tr>
<tr class="memdesc:a1f3b0f7a3bbbab7b22f8ae545cf46255"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract column from matrix given column index. It requires that all the values are NON-NULL. This is the dense or sparse representation of the matrix where the matrix elements are indexed by row id for dense and by the row and column id for sparse.  <a href="#a1f3b0f7a3bbbab7b22f8ae545cf46255">More...</a><br /></td></tr>
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<tr class="memitem:a1c5371cb5bc60dc48ba4a6cee805c30d"><td class="memItemLeft" align="right" valign="top">text&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a1c5371cb5bc60dc48ba4a6cee805c30d">matrix_extract_col</a> (text message)</td></tr>
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<tr class="memitem:a2f88aa4f4a8e479276c927048e1814f2"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a2f88aa4f4a8e479276c927048e1814f2">matrix_zeros</a> (integer row_dim, integer col_dim, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:a2f88aa4f4a8e479276c927048e1814f2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initializes matrix with zeros. It requires that all the values are NON-NULL.  <a href="#a2f88aa4f4a8e479276c927048e1814f2">More...</a><br /></td></tr>
<tr class="separator:a2f88aa4f4a8e479276c927048e1814f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:a6aefe99d73608495150c1ac46cc9bcd6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get max value along dimension from matrix. Also returns corresponding index if set fetch_index. It requires that all the values are NON-NULL. This is the dense or sparse representation of the matrix where the matrix elements are indexed by row id for dense and by the row and column id for sparse.  <a href="#a6aefe99d73608495150c1ac46cc9bcd6">More...</a><br /></td></tr>
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<tr class="memdesc:aa27d69d09f5eb456eb326d4b5eda1a2a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get min value along dimension from matrix. Also returns corresponding index if set fetch_index. It requires that all the values are NON-NULL. This is the dense or sparse representation of the matrix where the matrix elements are indexed by row id for dense and by the row and column id for sparse.  <a href="#aa27d69d09f5eb456eb326d4b5eda1a2a">More...</a><br /></td></tr>
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<tr class="memitem:af03096b43d66e3a3448885e8d6643244"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#af03096b43d66e3a3448885e8d6643244">matrix_sum</a> (text matrix_in, text in_args, integer dim)</td></tr>
<tr class="memdesc:af03096b43d66e3a3448885e8d6643244"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate sum along dimension for matrix. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#af03096b43d66e3a3448885e8d6643244">More...</a><br /></td></tr>
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<tr class="memitem:aff618caaa8e3edc1b3f2465d04598a9d"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#aff618caaa8e3edc1b3f2465d04598a9d">matrix_mean</a> (text matrix_in, text in_args, integer dim)</td></tr>
<tr class="memdesc:aff618caaa8e3edc1b3f2465d04598a9d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate mean along dimension for matrix. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#aff618caaa8e3edc1b3f2465d04598a9d">More...</a><br /></td></tr>
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<tr class="memitem:a21d94d92c4545bccb58234e8ee0bed2a"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a21d94d92c4545bccb58234e8ee0bed2a">matrix_mean</a> (text matrix_in, text in_args)</td></tr>
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<tr class="memdesc:aa41d97528365f8e161e5e821165a6e0d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies one matrix with scalar. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#aa41d97528365f8e161e5e821165a6e0d">More...</a><br /></td></tr>
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<tr class="memitem:a5060836ec7418a8ec7141740d709db5a"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a5060836ec7418a8ec7141740d709db5a">matrix_vec_mult</a> (text matrix_in, text in_args, float8[] vector)</td></tr>
<tr class="memdesc:a5060836ec7418a8ec7141740d709db5a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies one matrix with vector. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#a5060836ec7418a8ec7141740d709db5a">More...</a><br /></td></tr>
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<tr class="memitem:aa93181583456a1f23c3665c051742173"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#aa93181583456a1f23c3665c051742173">matrix_elem_mult</a> (text matrix_a, text a_args, text matrix_b, text b_args, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:aa93181583456a1f23c3665c051742173"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies two matrices by element. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column id.  <a href="#aa93181583456a1f23c3665c051742173">More...</a><br /></td></tr>
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<tr class="memitem:aa8089cdaf2b66d668f2f15fe3d457d06"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#aa8089cdaf2b66d668f2f15fe3d457d06">matrix_trans</a> (text matrix_in, text in_args, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:aa8089cdaf2b66d668f2f15fe3d457d06"><td class="mdescLeft">&#160;</td><td class="mdescRight">Transpose matrix. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column index.  <a href="#aa8089cdaf2b66d668f2f15fe3d457d06">More...</a><br /></td></tr>
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<tr class="memitem:a390fb7234f49e17c780e961184873759"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a390fb7234f49e17c780e961184873759">matrix_sparsify</a> (text matrix_in, text in_args, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:a390fb7234f49e17c780e961184873759"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts matrix to sparse representation. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row and column index.  <a href="#a390fb7234f49e17c780e961184873759">More...</a><br /></td></tr>
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<tr class="memitem:a7df10b8c7cf6a26cc297a6c39482d084"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a7df10b8c7cf6a26cc297a6c39482d084">matrix_densify</a> (text matrix_in, text in_args, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:a7df10b8c7cf6a26cc297a6c39482d084"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts matrix to dense representation. It requires that all the values are NON-NULL. This is the sparse representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a7df10b8c7cf6a26cc297a6c39482d084">More...</a><br /></td></tr>
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<tr class="memitem:a68c05ce6379f28d5e30dd0144fe50565"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a68c05ce6379f28d5e30dd0144fe50565">matrix_scale_and_add</a> (text matrix_a, text a_args, text matrix_b, text b_args, float8 scale, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:a68c05ce6379f28d5e30dd0144fe50565"><td class="mdescLeft">&#160;</td><td class="mdescRight">Scale and add matrix operation ( R &lt;- A + sB)  <a href="#a68c05ce6379f28d5e30dd0144fe50565">More...</a><br /></td></tr>
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<tr class="memitem:a31de2056018ac96ba01125c0e131f21e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a31de2056018ac96ba01125c0e131f21e">matrix_scale_and_add</a> (text matrix_a, text a_args, text matrix_b, text b_args, float8 scale, text matrix_out)</td></tr>
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<tr class="memitem:aa5eb2864180eb276a786d9b2172aef5f"><td class="memItemLeft" align="right" valign="top">float8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#aa5eb2864180eb276a786d9b2172aef5f">matrix_norm</a> (text matrix_in, text in_args, text norm_type)</td></tr>
<tr class="memdesc:aa5eb2864180eb276a786d9b2172aef5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute matrix norm (of various types)  <a href="#aa5eb2864180eb276a786d9b2172aef5f">More...</a><br /></td></tr>
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<tr class="memdesc:ae4082533d1943e20660dee4c951edf22"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#ae4082533d1943e20660dee4c951edf22">More...</a><br /></td></tr>
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<tr class="memdesc:a642932bc5d60ee0ee29068e2c0438d19"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a diagonal matrix with a specified vector on the main diagonal. It always creates the sparse representation of the diagonal matrix where the matrix elements are indexed by the row and column index.  <a href="#a642932bc5d60ee0ee29068e2c0438d19">More...</a><br /></td></tr>
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<tr class="memitem:a7f85d65a21f193f5e77409a3dcd34b06"><td class="memItemLeft" align="right" valign="top">float []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a7f85d65a21f193f5e77409a3dcd34b06">matrix_extract_diag</a> (text matrix_in, text in_args)</td></tr>
<tr class="memdesc:a7f85d65a21f193f5e77409a3dcd34b06"><td class="mdescLeft">&#160;</td><td class="mdescRight">main diagonal matrix. It requires that all the matrix must be the square matrix. This is the sparse representation of the matrix where the matrix elements are indexed by the row and column index.  <a href="#a7f85d65a21f193f5e77409a3dcd34b06">More...</a><br /></td></tr>
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<tr class="memdesc:af4ce5b8872d28bd1d0e2e72af41db173"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create an identity matrix with the dimensionality specified by an integer. It can specify the sparse or dense representation of the result matrix.  <a href="#af4ce5b8872d28bd1d0e2e72af41db173">More...</a><br /></td></tr>
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<tr class="memdesc:ad5df0edded7b5db4b9bdd29ff3e39ec3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initializes matrix with random distribution. It requires that all the values are NON-NULL.  <a href="#ad5df0edded7b5db4b9bdd29ff3e39ec3">More...</a><br /></td></tr>
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<tr class="memdesc:a1f59138935fe638eca1f15588aa76ac1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initializes matrix with ones. It requires that all the values are NON-NULL.  <a href="#a1f59138935fe638eca1f15588aa76ac1">More...</a><br /></td></tr>
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<tr class="memdesc:a0176dd860f866c5e0899b32f471bc953"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate inverse of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a0176dd860f866c5e0899b32f471bc953">More...</a><br /></td></tr>
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<tr class="memitem:a929ded138fb0a953c8126ee8e20d793f"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a929ded138fb0a953c8126ee8e20d793f">matrix_pinv</a> (text matrix_in, text in_args, text matrix_out, text out_args)</td></tr>
<tr class="memdesc:a929ded138fb0a953c8126ee8e20d793f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate generalized inverse of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a929ded138fb0a953c8126ee8e20d793f">More...</a><br /></td></tr>
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<tr class="memitem:a21a96e5933fd1094befc20051b0fb7b7"><td class="memItemLeft" align="right" valign="top">matrix_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a21a96e5933fd1094befc20051b0fb7b7">matrix_lu</a> (text matrix_in, text in_args, text matrix_out_prefix, text out_args)</td></tr>
<tr class="memdesc:a21a96e5933fd1094befc20051b0fb7b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate full pivoting LU decomposition of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a21a96e5933fd1094befc20051b0fb7b7">More...</a><br /></td></tr>
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<tr class="memdesc:a1905e1b687e45dacbef1e82097b538de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate eigenvalues of matrix. It requires that all the values are NON-NULL.  <a href="#a1905e1b687e45dacbef1e82097b538de">More...</a><br /></td></tr>
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<tr class="memdesc:a4e4aeeb2f56f59f89fffe3049089ed23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Cholesky decompose of matrix. Because it is required that input matrix should be symmetric, it is only the lower triangular part that will be used for the decompositon. The upper triangular part won't be read. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a4e4aeeb2f56f59f89fffe3049089ed23">More...</a><br /></td></tr>
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<tr class="memdesc:ac656a3a1e0008af89af9d4af44467407"><td class="mdescLeft">&#160;</td><td class="mdescRight">QR decompose of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#ac656a3a1e0008af89af9d4af44467407">More...</a><br /></td></tr>
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<tr class="memdesc:a3906a54d945b19672641ca08bef11e69"><td class="mdescLeft">&#160;</td><td class="mdescRight">rank of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#a3906a54d945b19672641ca08bef11e69">More...</a><br /></td></tr>
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<tr class="memitem:ad87178a3e1721ee05589817cb598d6ec"><td class="memItemLeft" align="right" valign="top">float8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#ad87178a3e1721ee05589817cb598d6ec">matrix_nuclear_norm</a> (text matrix_in, text in_args)</td></tr>
<tr class="memdesc:ad87178a3e1721ee05589817cb598d6ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">nuclear norm of matrix. It requires that all the values are NON-NULL. This is the dense representation of the matrix where the matrix elements are indexed by the row index.  <a href="#ad87178a3e1721ee05589817cb598d6ec">More...</a><br /></td></tr>
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<tr class="memdesc:aaeacfbaf004310e36ebb8c4ce4ac601c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The function folds (through multiplication) array x according to the pattern in array y, producing an array of the same length as array y.  <a href="#aaeacfbaf004310e36ebb8c4ce4ac601c">More...</a><br /></td></tr>
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<tr class="memitem:a9c36379876228130e6d4d1bf858c695d"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a9c36379876228130e6d4d1bf858c695d">__bernoulli_vector</a> (integer dim, float8 pos_val, float8 neg_val, float8 prob, integer seed)</td></tr>
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<tr class="memitem:a32e4cb006c85a878f6054fae7a41b135"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a32e4cb006c85a878f6054fae7a41b135">__normal_vector</a> (integer dim, float8 mu, float8 sigma)</td></tr>
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<tr class="memitem:a049ad6b2bb6a728539fb49e4e6610233"><td class="memItemLeft" align="right" valign="top">integer []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a049ad6b2bb6a728539fb49e4e6610233">__rand_block</a> (integer row_dim, integer col_dim)</td></tr>
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<tr class="memitem:a461bf9972c8b132d6f21a1de19fd4f40"><td class="memItemLeft" align="right" valign="top">set&lt; float8[]&gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a461bf9972c8b132d6f21a1de19fd4f40">__matrix_row_split</a> (float8[] row_in, integer size)</td></tr>
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<tr class="memitem:a04809ad9a25c7cf84afd0253fa825d6c"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a04809ad9a25c7cf84afd0253fa825d6c">__matrix_densify_sfunc</a> (float8[] state, integer col_dim, integer col_id, float8 val)</td></tr>
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<tr class="memitem:a10a095fb37e4505d38c926a2a390e72f"><td class="memItemLeft" align="right" valign="top">aggregate float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a10a095fb37e4505d38c926a2a390e72f">__matrix_densify_agg</a> (integer, integer, float8)</td></tr>
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<tr class="memitem:ab905d4447072594f1af9c2bd954bba90"><td class="memItemLeft" align="right" valign="top">aggregate anyarray&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#ab905d4447072594f1af9c2bd954bba90">__matrix_column_abs_sum_agg</a> (anyarray)</td></tr>
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<tr class="memitem:a0731901b985a90c3aa2f686a7ce95978"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a0731901b985a90c3aa2f686a7ce95978">matrix_mem_trans</a> (float[] matrix)</td></tr>
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<tr class="separator:aabb7d39f86fa8442cb6893f7a51f1f07"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4df2e2056385af5f3f236613bca47083"><td class="memItemLeft" align="right" valign="top">aggregate float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a4df2e2056385af5f3f236613bca47083">__matrix_sparse_lu</a> (integer numrows, integer numcols, integer row_id, integer col_id, float8 x)</td></tr>
<tr class="memdesc:a4df2e2056385af5f3f236613bca47083"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute full pivoting LU decomposition of a sparse matrix.  <a href="#a4df2e2056385af5f3f236613bca47083">More...</a><br /></td></tr>
<tr class="separator:a4df2e2056385af5f3f236613bca47083"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86e1545c3a5d9f83e3eeb374419f181b"><td class="memItemLeft" align="right" valign="top">aggregate float8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a86e1545c3a5d9f83e3eeb374419f181b">__matrix_dense_nuclear_norm</a> (integer numrows, integer row_id, float8[] x)</td></tr>
<tr class="memdesc:a86e1545c3a5d9f83e3eeb374419f181b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute nuclear norm of a dense matrix.  <a href="#a86e1545c3a5d9f83e3eeb374419f181b">More...</a><br /></td></tr>
<tr class="separator:a86e1545c3a5d9f83e3eeb374419f181b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8823870472e1de1b090694b3a388e41b"><td class="memItemLeft" align="right" valign="top">aggregate float8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__ops_8sql__in.html#a8823870472e1de1b090694b3a388e41b">__matrix_sparse_nuclear_norm</a> (integer numrows, integer numcols, integer row_id, integer col_id, float8 x)</td></tr>
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<tr class="separator:a8823870472e1de1b090694b3a388e41b"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section date"><dt>Date</dt><dd>April 2011 </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a998820afa3721fa1119532dc76801d18"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a998820afa3721fa1119532dc76801d18">&#9670;&nbsp;</a></span>__array_abs_add_sfunc()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">anyarray __array_abs_add_sfunc </td>
          <td>(</td>
          <td class="paramtype">anyarray&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">anyarray&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a9c36379876228130e6d4d1bf858c695d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9c36379876228130e6d4d1bf858c695d">&#9670;&nbsp;</a></span>__bernoulli_vector() <span class="overload">[1/2]</span></h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __bernoulli_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>pos_val</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>neg_val</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>prob</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>seed</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a9ed5e603fa0924f08a7a9e5b3171768a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9ed5e603fa0924f08a7a9e5b3171768a">&#9670;&nbsp;</a></span>__bernoulli_vector() <span class="overload">[2/2]</span></h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __bernoulli_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="acc0ca1d652b5bd1ad6ffe658bc45b758"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc0ca1d652b5bd1ad6ffe658bc45b758">&#9670;&nbsp;</a></span>__matrix_blockize_agg()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_blockize_agg </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a320f5ca4aacb21d56ae2e5eebc908835"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a320f5ca4aacb21d56ae2e5eebc908835">&#9670;&nbsp;</a></span>__matrix_blockize_sfunc()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_blockize_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>row_vec</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>rsize</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a6b4ddaf2e9daf2452a016498c7f546fb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6b4ddaf2e9daf2452a016498c7f546fb">&#9670;&nbsp;</a></span>__matrix_cholesky_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_cholesky_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ab905d4447072594f1af9c2bd954bba90"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab905d4447072594f1af9c2bd954bba90">&#9670;&nbsp;</a></span>__matrix_column_abs_sum_agg()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate anyarray __matrix_column_abs_sum_agg </td>
          <td>(</td>
          <td class="paramtype">anyarray&#160;</td>
          <td class="paramname"></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ae4176a88e13c09362af1e4c1afd1f12b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae4176a88e13c09362af1e4c1afd1f12b">&#9670;&nbsp;</a></span>__matrix_column_to_array_format()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">matrix_result __matrix_column_to_array_format </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>istemp</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ac8430e6b3e2595ec2f13bbc98609ebbb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac8430e6b3e2595ec2f13bbc98609ebbb">&#9670;&nbsp;</a></span>__matrix_compose_dense_transition()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_compose_dense_transition </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a067b397a47438e993a1b1577744e0cf6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a067b397a47438e993a1b1577744e0cf6">&#9670;&nbsp;</a></span>__matrix_compose_merge()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_compose_merge </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>stateleft</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>stateright</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a2e0fda0e0ef7fc7d1669207d86667251"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2e0fda0e0ef7fc7d1669207d86667251">&#9670;&nbsp;</a></span>__matrix_compose_sparse_transition()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_compose_sparse_transition </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aafdac25e2489777fa349c02272a52afe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aafdac25e2489777fa349c02272a52afe">&#9670;&nbsp;</a></span>__matrix_dense_cholesky()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_cholesky </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a226bfdc99ee7b87750eb1e34839ba40b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a226bfdc99ee7b87750eb1e34839ba40b">&#9670;&nbsp;</a></span>__matrix_dense_eigen()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_eigen </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a2a42b415200e2970528ee6db0070aaec"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a42b415200e2970528ee6db0070aaec">&#9670;&nbsp;</a></span>__matrix_dense_inverse()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_inverse </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aabb7d39f86fa8442cb6893f7a51f1f07"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aabb7d39f86fa8442cb6893f7a51f1f07">&#9670;&nbsp;</a></span>__matrix_dense_lu()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_lu </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a86e1545c3a5d9f83e3eeb374419f181b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a86e1545c3a5d9f83e3eeb374419f181b">&#9670;&nbsp;</a></span>__matrix_dense_nuclear_norm()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 __matrix_dense_nuclear_norm </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ac61111e1c209ec09a82a4370c6b2e5ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac61111e1c209ec09a82a4370c6b2e5ad">&#9670;&nbsp;</a></span>__matrix_dense_pinv()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_pinv </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ab5ab1aca1133bf650a53d53a0fae226c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab5ab1aca1133bf650a53d53a0fae226c">&#9670;&nbsp;</a></span>__matrix_dense_qr()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_dense_qr </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a65f0ffed59f979f066feba4b7640a11f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65f0ffed59f979f066feba4b7640a11f">&#9670;&nbsp;</a></span>__matrix_dense_rank()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate int8 __matrix_dense_rank </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a10a095fb37e4505d38c926a2a390e72f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a10a095fb37e4505d38c926a2a390e72f">&#9670;&nbsp;</a></span>__matrix_densify_agg()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_densify_agg </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a04809ad9a25c7cf84afd0253fa825d6c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a04809ad9a25c7cf84afd0253fa825d6c">&#9670;&nbsp;</a></span>__matrix_densify_sfunc()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_densify_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>val</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ac113f89fe7f51491c8223480433495e5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac113f89fe7f51491c8223480433495e5">&#9670;&nbsp;</a></span>__matrix_eigen_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_eigen_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ad62966b094a7c4ce9c5e0c3b6679e4d1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad62966b094a7c4ce9c5e0c3b6679e4d1">&#9670;&nbsp;</a></span>__matrix_inv_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_inv_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a47ca9c941be86f88c4746744a6105e89"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a47ca9c941be86f88c4746744a6105e89">&#9670;&nbsp;</a></span>__matrix_lu_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_lu_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aa9f91e48c5890026fc35e65722bb6a0b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa9f91e48c5890026fc35e65722bb6a0b">&#9670;&nbsp;</a></span>__matrix_mem_sum()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_mem_sum </td>
          <td>(</td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[]</td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a634478f746232cb12f3c46cbb2c20837"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a634478f746232cb12f3c46cbb2c20837">&#9670;&nbsp;</a></span>__matrix_mem_sum_sfunc()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_mem_sum_sfunc </td>
          <td>(</td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a7df499382f7b4ea9347f941cb049c738"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7df499382f7b4ea9347f941cb049c738">&#9670;&nbsp;</a></span>__matrix_nuclear_norm_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 __matrix_nuclear_norm_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a1fecf03b9cb3df7423ce40e24a86c511"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1fecf03b9cb3df7423ce40e24a86c511">&#9670;&nbsp;</a></span>__matrix_pinv_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_pinv_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aad1de24406ecd7ec29b5aa2553373dfc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aad1de24406ecd7ec29b5aa2553373dfc">&#9670;&nbsp;</a></span>__matrix_qr_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_qr_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="abe950f847a36db534edc393f04d5fd28"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abe950f847a36db534edc393f04d5fd28">&#9670;&nbsp;</a></span>__matrix_rank_final()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">int8 __matrix_rank_final </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a461bf9972c8b132d6f21a1de19fd4f40"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a461bf9972c8b132d6f21a1de19fd4f40">&#9670;&nbsp;</a></span>__matrix_row_split()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">set&lt;float8[]&gt; __matrix_row_split </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>row_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>size</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="af84acb7ebaa37616da8f5ad9f443cb23"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af84acb7ebaa37616da8f5ad9f443cb23">&#9670;&nbsp;</a></span>__matrix_sparse_cholesky()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_cholesky </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="afc9506600ad539ffd0a342bdbd22c11d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afc9506600ad539ffd0a342bdbd22c11d">&#9670;&nbsp;</a></span>__matrix_sparse_eigen()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_eigen </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a91a74f848438f5376cb7e33b90f7f69a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a91a74f848438f5376cb7e33b90f7f69a">&#9670;&nbsp;</a></span>__matrix_sparse_inverse()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_inverse </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a4df2e2056385af5f3f236613bca47083"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4df2e2056385af5f3f236613bca47083">&#9670;&nbsp;</a></span>__matrix_sparse_lu()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_lu </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a8823870472e1de1b090694b3a388e41b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8823870472e1de1b090694b3a388e41b">&#9670;&nbsp;</a></span>__matrix_sparse_nuclear_norm()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 __matrix_sparse_nuclear_norm </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ad1d693b401ca30e14052647d6c10b0b9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad1d693b401ca30e14052647d6c10b0b9">&#9670;&nbsp;</a></span>__matrix_sparse_pinv()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_pinv </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a2379145bebdb037b482836ac5e592119"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2379145bebdb037b482836ac5e592119">&#9670;&nbsp;</a></span>__matrix_sparse_qr()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_sparse_qr </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a5e09639f4ce3b62338c421635b1d9e3f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5e09639f4ce3b62338c421635b1d9e3f">&#9670;&nbsp;</a></span>__matrix_sparse_rank()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate int8 __matrix_sparse_rank </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numrows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>numcols</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a9040650f804ace7108c0bca001ed6fae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9040650f804ace7108c0bca001ed6fae">&#9670;&nbsp;</a></span>__matrix_unblockize_agg()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">aggregate float8 [] __matrix_unblockize_agg </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[]&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a66142991fa1c3abc0c1b1327002743ce"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a66142991fa1c3abc0c1b1327002743ce">&#9670;&nbsp;</a></span>__matrix_unblockize_sfunc()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">float8 [] __matrix_unblockize_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>total_col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>row_vec</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a01ea5d175f37efba0cedbba6ade0f7bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a01ea5d175f37efba0cedbba6ade0f7bd">&#9670;&nbsp;</a></span>__matrix_unnest_block()</h2>

<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">set&lt;float8[]&gt; __matrix_unnest_block </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>block</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a4d267c1d4a4869414c880ea18d44a260"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4d267c1d4a4869414c880ea18d44a260">&#9670;&nbsp;</a></span>__matrix_vec_mult_in_mem() <span class="overload">[1/2]</span></h2>

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          <td class="memname">float8 [] __matrix_vec_mult_in_mem </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>matrix</em>[][]&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a86db6cbb11df1f7077540ce531b52399">&#9670;&nbsp;</a></span>__matrix_vec_mult_in_mem() <span class="overload">[2/2]</span></h2>

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          <td class="memname">float8 [] __matrix_vec_mult_in_mem </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>matrix</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<a id="a1545c36760a94943c2e1aeca23f1db84"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1545c36760a94943c2e1aeca23f1db84">&#9670;&nbsp;</a></span>__normal_vector() <span class="overload">[1/2]</span></h2>

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          <td class="memname">float8 [] __normal_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>mu</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>sigma</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>seed</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<a id="a32e4cb006c85a878f6054fae7a41b135"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a32e4cb006c85a878f6054fae7a41b135">&#9670;&nbsp;</a></span>__normal_vector() <span class="overload">[2/2]</span></h2>

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          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>mu</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>sigma</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a049ad6b2bb6a728539fb49e4e6610233"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a049ad6b2bb6a728539fb49e4e6610233">&#9670;&nbsp;</a></span>__rand_block() <span class="overload">[1/2]</span></h2>

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          <td class="memname">integer [] __rand_block </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a5b183fd27db62e94f9275dd6ca8077c3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5b183fd27db62e94f9275dd6ca8077c3">&#9670;&nbsp;</a></span>__rand_block() <span class="overload">[2/2]</span></h2>

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          <td class="memname">integer [] __rand_block </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a845a3e8b711a3ad64103a2c0442f7baf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a845a3e8b711a3ad64103a2c0442f7baf">&#9670;&nbsp;</a></span>__rand_vector()</h2>

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          <td class="memname">integer [] __rand_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#aaeacfbaf004310e36ebb8c4ce4ac601c">&#9670;&nbsp;</a></span>__row_fold()</h2>

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          <td class="memname">float8 [] __row_fold </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>row_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer []&#160;</td>
          <td class="paramname"><em>pattern</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">row</td><td>Array x </td></tr>
    <tr><td class="paramname">pattern</td><td>Array y </td></tr>
    <tr><td class="paramname">folded</td><td>array </td></tr>
  </table>
  </dd>
</dl>

</div>
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<a id="a659d654fc2cd25e498ad83950e044b13"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a659d654fc2cd25e498ad83950e044b13">&#9670;&nbsp;</a></span>__uniform_vector() <span class="overload">[1/2]</span></h2>

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          <td class="memname">float8 [] __uniform_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>seed</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<a id="a69a8dcfcacf6d5d362e26d74192cea92"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a69a8dcfcacf6d5d362e26d74192cea92">&#9670;&nbsp;</a></span>__uniform_vector() <span class="overload">[2/2]</span></h2>

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          <td class="memname">float8 [] __uniform_vector </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>b</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a1cbb83dad451e7c36033c0f3df0a22e0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1cbb83dad451e7c36033c0f3df0a22e0">&#9670;&nbsp;</a></span>matrix_add() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_add </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Name of the table containing the first matrix </td></tr>
    <tr><td class="paramname">a_row</td><td>Name of the column containing the row index for the first matrix </td></tr>
    <tr><td class="paramname">a_col</td><td>Name of the column containing the column index for the first matrix </td></tr>
    <tr><td class="paramname">a_val</td><td>Name of the column containing the matrix values for the first matrix </td></tr>
    <tr><td class="paramname">matrix_b</td><td>Name of the table containing the second matrix </td></tr>
    <tr><td class="paramname">b_row</td><td>Name of the column containing the row index for the second matrix </td></tr>
    <tr><td class="paramname">b_col</td><td>Name of the column containing the column index for the second matrix </td></tr>
    <tr><td class="paramname">b_val</td><td>Name of the column containing the matrix values for the second matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="a41caa30da3fe15625e33782884ca6060"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a41caa30da3fe15625e33782884ca6060">&#9670;&nbsp;</a></span>matrix_add() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_add </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="af305d7f198954d3dabf1b47578ad8d81"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af305d7f198954d3dabf1b47578ad8d81">&#9670;&nbsp;</a></span>matrix_add() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_add </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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</div>
<a id="a68b950ef082b7f0545ba1a926c9afe35"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a68b950ef082b7f0545ba1a926c9afe35">&#9670;&nbsp;</a></span>matrix_add() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_add </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a0cb243e18397fb101f1cf48d9872f805"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0cb243e18397fb101f1cf48d9872f805">&#9670;&nbsp;</a></span>matrix_block_mult()</h2>

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          <td class="memname">matrix_result matrix_block_mult </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#af84a929ab1558a06a5f8e9e500bf9051">&#9670;&nbsp;</a></span>matrix_block_square()</h2>

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          <td class="memname">matrix_result matrix_block_square </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a5f096c3062218d0a6848ab1a22f3d5bb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5f096c3062218d0a6848ab1a22f3d5bb">&#9670;&nbsp;</a></span>matrix_block_trans()</h2>

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      <table class="memname">
        <tr>
          <td class="memname">matrix_result matrix_block_trans </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aa63cfd84aa33c87ad16f52dc7f642848"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa63cfd84aa33c87ad16f52dc7f642848">&#9670;&nbsp;</a></span>matrix_blockize() <span class="overload">[1/2]</span></h2>

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          <td class="memname">matrix_result matrix_blockize </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>rsize</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>csize</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a8f5cd60132d738f440dffef007476b91"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f5cd60132d738f440dffef007476b91">&#9670;&nbsp;</a></span>matrix_blockize() <span class="overload">[2/2]</span></h2>

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        <tr>
          <td class="memname">matrix_result matrix_blockize </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
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          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
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</div>
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<a id="a4e4aeeb2f56f59f89fffe3049089ed23"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4e4aeeb2f56f59f89fffe3049089ed23">&#9670;&nbsp;</a></span>matrix_cholesky() <span class="overload">[1/4]</span></h2>

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        <tr>
          <td class="memname">matrix_result matrix_cholesky </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramtype">text&#160;</td>
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          <td class="paramtype">text&#160;</td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="a13be8579794a2460c8727b116c73163c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a13be8579794a2460c8727b116c73163c">&#9670;&nbsp;</a></span>matrix_cholesky() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_cholesky </td>
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        <tr>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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</div><div class="memdoc">

</div>
</div>
<a id="ac9cfb05c9ab8e4daf35ba65b06f85d8d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac9cfb05c9ab8e4daf35ba65b06f85d8d">&#9670;&nbsp;</a></span>matrix_cholesky() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_cholesky </td>
          <td>(</td>
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          <td class="paramname"><em>message</em></td><td>)</td>
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</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a2d1154d0e461d7e45b936b15d192ecb0">&#9670;&nbsp;</a></span>matrix_cholesky() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_cholesky </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a7df10b8c7cf6a26cc297a6c39482d084">&#9670;&nbsp;</a></span>matrix_densify() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_densify </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
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          <td class="paramtype">text&#160;</td>
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        </tr>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">in_row</td><td>Name of the column containing the row index for the input matrix </td></tr>
    <tr><td class="paramname">in_col</td><td>Name of the column containing the column index for the input matrix </td></tr>
    <tr><td class="paramname">in_val</td><td>Name of the column containing the matrix values for the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="a6d47b253d9f4a966c06bc011b52762ef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6d47b253d9f4a966c06bc011b52762ef">&#9670;&nbsp;</a></span>matrix_densify() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_densify </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a2440a8a698a41e31afd7517edba19a17"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2440a8a698a41e31afd7517edba19a17">&#9670;&nbsp;</a></span>matrix_densify() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_densify </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
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</div><div class="memdoc">

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<a id="adda0815232229bce7f88cfca9c99c2fb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adda0815232229bce7f88cfca9c99c2fb">&#9670;&nbsp;</a></span>matrix_densify() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_densify </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a642932bc5d60ee0ee29068e2c0438d19">&#9670;&nbsp;</a></span>matrix_diag() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_diag </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>diag_elements</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
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        <tr>
          <td></td>
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          <td></td><td></td>
        </tr>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">diag_elements</td><td>Name of the array containing the diagonal elements. It requaires Not NULL, Not empty, Not containing NULL elements </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result diagonal matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result diagonal matrix </dd></dl>

</div>
</div>
<a id="ae3b60dc30259b5526c7be0d1a6a95c20"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae3b60dc30259b5526c7be0d1a6a95c20">&#9670;&nbsp;</a></span>matrix_diag() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_diag </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>diag_elements</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
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          <td></td>
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        </tr>
      </table>
</div><div class="memdoc">

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<a id="af05e66bbc871c4c24f569bf1b16f684b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af05e66bbc871c4c24f569bf1b16f684b">&#9670;&nbsp;</a></span>matrix_diag() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_diag </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
        </tr>
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</div><div class="memdoc">

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<a id="a888d9ab690fed966da3722886e1c0ff7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a888d9ab690fed966da3722886e1c0ff7">&#9670;&nbsp;</a></span>matrix_diag() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_diag </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a1905e1b687e45dacbef1e82097b538de">&#9670;&nbsp;</a></span>matrix_eigen() <span class="overload">[1/4]</span></h2>

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        <tr>
          <td class="memname">matrix_result matrix_eigen </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="ae2ad35c91364d5ce4a94f7fd2aa6ce4b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae2ad35c91364d5ce4a94f7fd2aa6ce4b">&#9670;&nbsp;</a></span>matrix_eigen() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_eigen </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramname"><em>matrix_out</em>&#160;</td>
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</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#ac1d4021eccdee42c7a3d8fa953900f1e">&#9670;&nbsp;</a></span>matrix_eigen() <span class="overload">[3/4]</span></h2>

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          <td class="paramname"><em>message</em></td><td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ae25eb4b085772e283250ae1f3ace2cc6">&#9670;&nbsp;</a></span>matrix_eigen() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aa93181583456a1f23c3665c051742173">&#9670;&nbsp;</a></span>matrix_elem_mult() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_elem_mult </td>
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          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
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          <td class="paramname"><em>matrix_b</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Name of the table containing the first matrix </td></tr>
    <tr><td class="paramname">a_row</td><td>Name of the column containing the row id for the first matrix </td></tr>
    <tr><td class="paramname">a_col</td><td>Name of the column containing the column id for the first matrix </td></tr>
    <tr><td class="paramname">a_val</td><td>Name of the column containing the matrix values for the first matrix </td></tr>
    <tr><td class="paramname">matrix_b</td><td>Name of the table containing the second matrix </td></tr>
    <tr><td class="paramname">b_row</td><td>Name of the column containing the row id for the second matrix </td></tr>
    <tr><td class="paramname">b_col</td><td>Name of the column containing the column id for the second matrix </td></tr>
    <tr><td class="paramname">b_val</td><td>Name of the column containing the matrix values for the second matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="a282716431d27998bebf44d496ccd82df"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a282716431d27998bebf44d496ccd82df">&#9670;&nbsp;</a></span>matrix_elem_mult() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_elem_mult </td>
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          <td class="paramname"><em>matrix_a</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
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        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="ad0ff6a550b1941ce0cc3057343ce6eef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad0ff6a550b1941ce0cc3057343ce6eef">&#9670;&nbsp;</a></span>matrix_elem_mult() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_elem_mult </td>
          <td>(</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a78e64fe103c3f22288445ae6dfe0c3a2">&#9670;&nbsp;</a></span>matrix_elem_mult() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a1f3b0f7a3bbbab7b22f8ae545cf46255">&#9670;&nbsp;</a></span>matrix_extract_col() <span class="overload">[1/3]</span></h2>

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          <td class="memname">float8 [] matrix_extract_col </td>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>A string containing multiple named arguments of the form "name=value". This argument is used as a container for multiple parameters related to a single matrix. </td></tr>
    <tr><td class="paramname">index</td><td>Column index for wanted. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Vector containing given column elements. </dd></dl>

</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1c5371cb5bc60dc48ba4a6cee805c30d">&#9670;&nbsp;</a></span>matrix_extract_col() <span class="overload">[2/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a98a695c4cf03ae60c654013ec08fdfe8">&#9670;&nbsp;</a></span>matrix_extract_col() <span class="overload">[3/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a7f85d65a21f193f5e77409a3dcd34b06">&#9670;&nbsp;</a></span>matrix_extract_diag() <span class="overload">[1/3]</span></h2>

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          <td class="memname">float [] matrix_extract_diag </td>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">in_row</td><td>Name of the column containing the row index for the input matrix </td></tr>
    <tr><td class="paramname">in_col</td><td>Name of the column containing the column index for the input matrix </td></tr>
    <tr><td class="paramname">in_val</td><td>Name of the column containing the matrix values for the input matrix </td></tr>
    <tr><td class="paramname">use_temp_table</td><td>Specify if use temp table for result </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Array of main diagonal </dd></dl>

</div>
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<a id="a8415b48d92a0523ebc4a3df4144fdd48"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8415b48d92a0523ebc4a3df4144fdd48">&#9670;&nbsp;</a></span>matrix_extract_diag() <span class="overload">[2/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#adce984af4adbd3ed1864c9427002ce93">&#9670;&nbsp;</a></span>matrix_extract_diag() <span class="overload">[3/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a61fef136d511ac92153223f590ee596f">&#9670;&nbsp;</a></span>matrix_extract_row() <span class="overload">[1/3]</span></h2>

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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>A string containing multiple named arguments of the form "name=value". This argument is used as a container for multiple parameters related to a single matrix. </td></tr>
    <tr><td class="paramname">index</td><td>Row index for wanted. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Vector containing given row elements. </dd></dl>

</div>
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<a id="a0b8c0815933d4d39a6ea7bc7fe951552"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0b8c0815933d4d39a6ea7bc7fe951552">&#9670;&nbsp;</a></span>matrix_extract_row() <span class="overload">[2/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#af4ce5b8872d28bd1d0e2e72af41db173">&#9670;&nbsp;</a></span>matrix_identity() <span class="overload">[1/4]</span></h2>

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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">dim</td><td>Name of a integer specifing the dimensinality. It requaires Not NULL, dim &gt; 0. </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result identity matrix </td></tr>
    <tr><td class="paramname">out_args</td><td>Name-value pair string containing options for matrix_out </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result identity matrix </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a9284b89b9c13e43c2492aa6c9a9a17c0">&#9670;&nbsp;</a></span>matrix_identity() <span class="overload">[2/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a0176dd860f866c5e0899b32f471bc953">&#9670;&nbsp;</a></span>matrix_inverse() <span class="overload">[1/4]</span></h2>

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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#afee5dbac4040688e33f4bedb87af2d9e">&#9670;&nbsp;</a></span>matrix_inverse() <span class="overload">[2/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aa344aec551796b20f22a276f5d8492f0">&#9670;&nbsp;</a></span>matrix_inverse() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a21a96e5933fd1094befc20051b0fb7b7">&#9670;&nbsp;</a></span>matrix_lu() <span class="overload">[1/4]</span></h2>

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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_p</td><td>Name of the table where to output the result p matrix </td></tr>
    <tr><td class="paramname">matrix_l</td><td>Name of the table where to output the result l matrix </td></tr>
    <tr><td class="paramname">matrix_u</td><td>Name of the table where to output the result u matrix </td></tr>
    <tr><td class="paramname">matrix_q</td><td>Name of the table where to output the result q matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#ac0cfa9628072628259b2a50fef12ef9c">&#9670;&nbsp;</a></span>matrix_lu() <span class="overload">[2/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#acdb62ad5d8fcfaf80bcb553df4c57bcf">&#9670;&nbsp;</a></span>matrix_lu() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aa1609dc673ccae19bae8493030490f76">&#9670;&nbsp;</a></span>matrix_lu() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_lu </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a6aefe99d73608495150c1ac46cc9bcd6">&#9670;&nbsp;</a></span>matrix_max() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_max </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>fetch_index</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>A string containing multiple named arguments of the form "name=value". This argument is used as a container for multiple parameters related to a single matrix. </td></tr>
    <tr><td class="paramname">dim</td><td>Which dimension to collapse. 1 means row wise, and 2 means column wise </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Result matrix which contains one column: max, and another column: index if fetch_index is set. The type of column is array </td></tr>
    <tr><td class="paramname">fetch_index</td><td>True when want to get corresponding index of max value. Default is false </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>matrix_out. </dd></dl>

</div>
</div>
<a id="a738a759b0397a3a652ba76c5e2aea9a9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a738a759b0397a3a652ba76c5e2aea9a9">&#9670;&nbsp;</a></span>matrix_max() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_max </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<a id="ad5101b99f8112074e95c76f008081741"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad5101b99f8112074e95c76f008081741">&#9670;&nbsp;</a></span>matrix_max() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_max </td>
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          <td class="paramname"><em>message</em></td><td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a3f47e137a229cc32670461dee5fa3c7a">&#9670;&nbsp;</a></span>matrix_max() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aff618caaa8e3edc1b3f2465d04598a9d">&#9670;&nbsp;</a></span>matrix_mean() <span class="overload">[1/4]</span></h2>

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          <td class="memname">float8 [] matrix_mean </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>Name-value pair string containing options for matrix_in </td></tr>
    <tr><td class="paramname">dim</td><td>Which dimension to collapse. 1 means row wise, and 2 means column wise </td></tr>
  </table>
  </dd>
</dl>

</div>
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<a id="a21d94d92c4545bccb58234e8ee0bed2a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21d94d92c4545bccb58234e8ee0bed2a">&#9670;&nbsp;</a></span>matrix_mean() <span class="overload">[2/4]</span></h2>

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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>&#160;</td>
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          <td></td>
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<h2 class="memtitle"><span class="permalink"><a href="#ae703f1bf36c4ff0771253db03d2cd7d2">&#9670;&nbsp;</a></span>matrix_mean() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aef727e104b1c64c790bf0913caf78152">&#9670;&nbsp;</a></span>matrix_mean() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#ad16c824212e369760b9fb8ea658eac8c">&#9670;&nbsp;</a></span>matrix_mem_mult() <span class="overload">[1/2]</span></h2>

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          <td class="memname">float8 [] matrix_mem_mult </td>
          <td>(</td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>trans_b</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#a91383f59dcb8b7ca2fba89ea350d113b">&#9670;&nbsp;</a></span>matrix_mem_mult() <span class="overload">[2/2]</span></h2>

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          <td class="memname">float8 [] matrix_mem_mult </td>
          <td>(</td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix_b</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a0731901b985a90c3aa2f686a7ce95978">&#9670;&nbsp;</a></span>matrix_mem_trans()</h2>

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          <td class="memname">float8 [] matrix_mem_trans </td>
          <td>(</td>
          <td class="paramtype">float []&#160;</td>
          <td class="paramname"><em>matrix</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#aa27d69d09f5eb456eb326d4b5eda1a2a">&#9670;&nbsp;</a></span>matrix_min() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_min </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>fetch_index</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>A string containing multiple named arguments of the form "name=value". This argument is used as a container for multiple parameters related to a single matrix. </td></tr>
    <tr><td class="paramname">dim</td><td>Which dimension to collapse. 1 means row wise, and 2 means column wise </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Result matrix which contains one column: min, and another column: index if fetch_index is set. The type of column is array </td></tr>
    <tr><td class="paramname">fetch_index</td><td>True when want to get corresponding index of min value. Default is false </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>matrix_out. </dd></dl>

</div>
</div>
<a id="a6647bd00e4b853c2d7fbc9175f087ab9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6647bd00e4b853c2d7fbc9175f087ab9">&#9670;&nbsp;</a></span>matrix_min() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_min </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a7d2aee81366873b11104a5d4fe1e4c36"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7d2aee81366873b11104a5d4fe1e4c36">&#9670;&nbsp;</a></span>matrix_min() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#ad777bc84ac4691172a90133825ce5301">&#9670;&nbsp;</a></span>matrix_min() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a83e1d5e2c8cd598084c6d21fdce83ae7">&#9670;&nbsp;</a></span>matrix_mult() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_mult </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Name of the table containing the first matrix </td></tr>
    <tr><td class="paramname">a_row</td><td>Name of the column containing the row index for the first matrix </td></tr>
    <tr><td class="paramname">a_col</td><td>Name of the column containing the column index for the first matrix </td></tr>
    <tr><td class="paramname">a_val</td><td>Name of the column containing the matrix values for the first matrix </td></tr>
    <tr><td class="paramname">a_trans</td><td>Boolean to indicate if first matrix should be transposed before multiplication </td></tr>
    <tr><td class="paramname">matrix_b</td><td>Name of the table containing the second matrix </td></tr>
    <tr><td class="paramname">b_row</td><td>Name of the column containing the row index for the second matrix </td></tr>
    <tr><td class="paramname">b_col</td><td>Name of the column containing the column index for the second matrix </td></tr>
    <tr><td class="paramname">b_val</td><td>Name of the column containing the matrix values for the second matrix </td></tr>
    <tr><td class="paramname">b_trans</td><td>Boolean to indicate if second matrix should be transposed before multiplication </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<a id="aea1f8c6538b189a29c24b56f5af496b8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aea1f8c6538b189a29c24b56f5af496b8">&#9670;&nbsp;</a></span>matrix_mult() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_mult </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a43a2702360817f94ecf9b3ba9a984548">&#9670;&nbsp;</a></span>matrix_mult() <span class="overload">[3/4]</span></h2>

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          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>is_block</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">in_row</td><td>Name of the column containing the row index for the input matrix </td></tr>
    <tr><td class="paramname">in_col</td><td>Name of the column containing the column index for the input matrix </td></tr>
    <tr><td class="paramname">in_val</td><td>Name of the column containing the matrix values for the input matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>an array including row_dims and col_dims </dd></dl>

</div>
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          <td class="paramname"><em>in_args</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aa5eb2864180eb276a786d9b2172aef5f">&#9670;&nbsp;</a></span>matrix_norm() <span class="overload">[1/4]</span></h2>

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          <td class="memname">float8 matrix_norm </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>norm_type</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Source matrix table (dense matrix format) </td></tr>
    <tr><td class="paramname">norm_type</td><td>Type of norm used (default: fro)</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>DOUBLE PRECISION</dd></dl>
<dl class="section user"><dt>Usage Currenty, we support the following norms</dt><dd>(a) 'fro': Computes the frobenius norm (b) 'one': Computes the one norm (c) 'inf': Computes the infinity norm (d) 'max': Computes the max norm (e) 'spec': Computes the spectral norm (f) '&lt;positive float&gt;=""&gt;': Computes the element-wise norm</dd></dl>
<pre>
SELECT matrix_norm('<em>matrix_table_name</em>', 'fro');
</pre> 
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<h2 class="memtitle"><span class="permalink"><a href="#ad87178a3e1721ee05589817cb598d6ec">&#9670;&nbsp;</a></span>matrix_nuclear_norm() <span class="overload">[1/3]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td></td>
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        </tr>
      </table>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af37ef69921ecb4d667ebf65a3901ad4c">&#9670;&nbsp;</a></span>matrix_nuclear_norm() <span class="overload">[2/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a1f59138935fe638eca1f15588aa76ac1">&#9670;&nbsp;</a></span>matrix_ones() <span class="overload">[1/4]</span></h2>

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          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
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          <td class="paramkey"></td>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">row_dim</td><td>Name of the column containing the row index for the one matrix </td></tr>
    <tr><td class="paramname">col_dim</td><td>Name of the column containing the column index for the one matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
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          <td class="paramname"><em>col_id</em>, </td>
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          <td class="paramkey"></td>
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<h2 class="memtitle"><span class="permalink"><a href="#a929ded138fb0a953c8126ee8e20d793f">&#9670;&nbsp;</a></span>matrix_pinv() <span class="overload">[1/4]</span></h2>

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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>matrix_out</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a39c21ffb83c184a21b481ad12056af13">&#9670;&nbsp;</a></span>matrix_pinv() <span class="overload">[2/4]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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<h2 class="memtitle"><span class="permalink"><a href="#ac656a3a1e0008af89af9d4af44467407">&#9670;&nbsp;</a></span>matrix_qr() <span class="overload">[1/4]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_q</td><td>Name of the table where to output the q matrix of QR decomposition </td></tr>
    <tr><td class="paramname">matrix_r</td><td>Name of the table where to output the r matrix of QR decomposition </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out_prefix</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a58a87beb5600e5a06f36ae1e083fe4cc">&#9670;&nbsp;</a></span>matrix_qr() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#ae66de066dfdafaba16575f58ab58376c">&#9670;&nbsp;</a></span>matrix_qr() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#ad5df0edded7b5db4b9bdd29ff3e39ec3">&#9670;&nbsp;</a></span>matrix_random() <span class="overload">[1/3]</span></h2>

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          <td class="memname">matrix_result matrix_random </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>distribution</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">distribution</td><td>Name of the distribution to use (normal or uniform) </td></tr>
    <tr><td class="paramname">row_dim</td><td>Name of the column containing the row index for the one matrix </td></tr>
    <tr><td class="paramname">col_dim</td><td>Name of the column containing the column index for the one matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="af2dec2ccb01c2ba4b3d1293a032ff08f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af2dec2ccb01c2ba4b3d1293a032ff08f">&#9670;&nbsp;</a></span>matrix_random() <span class="overload">[2/3]</span></h2>

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          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>distribution</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="ae86e6f65ef75ed13a1de8b8e0c537bfc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae86e6f65ef75ed13a1de8b8e0c537bfc">&#9670;&nbsp;</a></span>matrix_random() <span class="overload">[3/3]</span></h2>

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          <td>(</td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
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        </tr>
      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#a3906a54d945b19672641ca08bef11e69">&#9670;&nbsp;</a></span>matrix_rank() <span class="overload">[1/3]</span></h2>

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          <td class="memname">int8 matrix_rank </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aef438cede80c62cdd8126a77b7bd86c7">&#9670;&nbsp;</a></span>matrix_rank() <span class="overload">[2/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a8613f342735ddb02a8b1d3585a569f26">&#9670;&nbsp;</a></span>matrix_rank() <span class="overload">[3/3]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#aa41d97528365f8e161e5e821165a6e0d">&#9670;&nbsp;</a></span>matrix_scalar_mult() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_scalar_mult </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>scalar</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>Name-value pair string containing options for matrix_in </td></tr>
    <tr><td class="paramname">scalar</td><td>Scalar value used to be multiplied with matrix_in </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
    <tr><td class="paramname">out_args</td><td>Name-value pair string containing options for matrix_in </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<a id="a0c8518f032d9f6af692dabde9f4e2051"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0c8518f032d9f6af692dabde9f4e2051">&#9670;&nbsp;</a></span>matrix_scalar_mult() <span class="overload">[2/4]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>scalar</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a6993220fd6f4d2c85514a05c966c0334">&#9670;&nbsp;</a></span>matrix_scalar_mult() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a48baae4d5938c7afdf160a84d43de399">&#9670;&nbsp;</a></span>matrix_scalar_mult() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a68c05ce6379f28d5e30dd0144fe50565">&#9670;&nbsp;</a></span>matrix_scale_and_add() <span class="overload">[1/2]</span></h2>

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          <td class="memname">void matrix_scale_and_add </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>scale</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Source matrix table A (dense matrix format) </td></tr>
    <tr><td class="paramname">matrix_b</td><td>Source matrix table B (dense matrix format) </td></tr>
    <tr><td class="paramname">scale</td><td>Scale for matrix B </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Output table for matrix R &lt;- A + sB</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>VOID</dd></dl>
<dl class="section user"><dt>Usage</dt><dd>For matrix addition and subtration, you can use the same function with different values of scalar <pre>
SELECT matrix_scale_and_add('matrix_a', 'matrix_b', 1, 'matrix_out');
SELECT matrix_scale_and_add('matrix_a', 'matrix_b', -1, 'matrix_out');
</pre> </dd></dl>

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<a id="a31de2056018ac96ba01125c0e131f21e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31de2056018ac96ba01125c0e131f21e">&#9670;&nbsp;</a></span>matrix_scale_and_add() <span class="overload">[2/2]</span></h2>

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          <td class="memname">void matrix_scale_and_add </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>scale</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a390fb7234f49e17c780e961184873759">&#9670;&nbsp;</a></span>matrix_sparsify() <span class="overload">[1/4]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
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<a id="a07be86160c55d50fe8277e8bdd3bab38"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a07be86160c55d50fe8277e8bdd3bab38">&#9670;&nbsp;</a></span>matrix_sparsify() <span class="overload">[2/4]</span></h2>

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          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a32bf4abd829dfc1b28d684af10d6b2d8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a32bf4abd829dfc1b28d684af10d6b2d8">&#9670;&nbsp;</a></span>matrix_sparsify() <span class="overload">[3/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#a0cdd245c633ccb63fc1067ed121a8a4d">&#9670;&nbsp;</a></span>matrix_sparsify() <span class="overload">[4/4]</span></h2>

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<h2 class="memtitle"><span class="permalink"><a href="#ae4082533d1943e20660dee4c951edf22">&#9670;&nbsp;</a></span>matrix_square() <span class="overload">[1/2]</span></h2>

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          <td class="memname">matrix_result matrix_square </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
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          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
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          <td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="ac27837c0e5196168e51ddd870c34205e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac27837c0e5196168e51ddd870c34205e">&#9670;&nbsp;</a></span>matrix_square() <span class="overload">[2/2]</span></h2>

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          <td class="memname">matrix_result matrix_square </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
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        <tr>
          <td></td>
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        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="aa9b1f1554e98d3ab8f04d203f99fd651"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa9b1f1554e98d3ab8f04d203f99fd651">&#9670;&nbsp;</a></span>matrix_sub() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_sub </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_a</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
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          <td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_a</td><td>Name of the table containing the first matrix </td></tr>
    <tr><td class="paramname">a_row</td><td>Name of the column containing the row id for the first matrix </td></tr>
    <tr><td class="paramname">a_col</td><td>Name of the column containing the column id for the first matrix </td></tr>
    <tr><td class="paramname">a_val</td><td>Name of the column containing the matrix values for the first matrix </td></tr>
    <tr><td class="paramname">matrix_b</td><td>Name of the table containing the second matrix </td></tr>
    <tr><td class="paramname">b_row</td><td>Name of the column containing the row id for the second matrix </td></tr>
    <tr><td class="paramname">b_col</td><td>Name of the column containing the column id for the second matrix </td></tr>
    <tr><td class="paramname">b_val</td><td>Name of the column containing the matrix values for the second matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="a2a8806e11141e8cc5a3fa0c6b1b9e62a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a8806e11141e8cc5a3fa0c6b1b9e62a">&#9670;&nbsp;</a></span>matrix_sub() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_sub </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_a</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>a_args</em>, </td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_b</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>b_args</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
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      </table>
</div><div class="memdoc">

</div>
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<a id="a66d586c0126a95e43ecad7d3efbcce69"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a66d586c0126a95e43ecad7d3efbcce69">&#9670;&nbsp;</a></span>matrix_sub() <span class="overload">[3/4]</span></h2>

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          <td>(</td>
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          <td class="paramname"><em>message</em></td><td>)</td>
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</div><div class="memdoc">

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<h2 class="memtitle"><span class="permalink"><a href="#a41d7286b1a57206f999e064bf3745407">&#9670;&nbsp;</a></span>matrix_sub() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_sub </td>
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<h2 class="memtitle"><span class="permalink"><a href="#af03096b43d66e3a3448885e8d6643244">&#9670;&nbsp;</a></span>matrix_sum() <span class="overload">[1/4]</span></h2>

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          <td class="memname">float8 [] matrix_sum </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>dim</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>Name-value pair string containing options for matrix_in </td></tr>
    <tr><td class="paramname">dim</td><td>Which dimension to collapse. 1 means row wise, and 2 means column wise </td></tr>
  </table>
  </dd>
</dl>

</div>
</div>
<a id="a6006396999fd192910197e40a0655179"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6006396999fd192910197e40a0655179">&#9670;&nbsp;</a></span>matrix_sum() <span class="overload">[2/4]</span></h2>

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          <td class="memname">float8 [] matrix_sum </td>
          <td>(</td>
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          <td class="paramname"><em>matrix_in</em>, </td>
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          <td class="paramkey"></td>
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<h2 class="memtitle"><span class="permalink"><a href="#a2ce9cf659cd15d6c765ff8cd11b26a2f">&#9670;&nbsp;</a></span>matrix_sum() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_sum </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a73a54a0e80047b8b9e5df2c4b635c155"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a73a54a0e80047b8b9e5df2c4b635c155">&#9670;&nbsp;</a></span>matrix_sum() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_sum </td>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8089cdaf2b66d668f2f15fe3d457d06">&#9670;&nbsp;</a></span>matrix_trans() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_trans </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the input matrix </td></tr>
    <tr><td class="paramname">in_row</td><td>Name of the column containing the row index for the input matrix </td></tr>
    <tr><td class="paramname">in_col</td><td>Name of the column containing the column index for the input matrix </td></tr>
    <tr><td class="paramname">in_val</td><td>Name of the column containing the matrix values for the input matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

</div>
</div>
<a id="af29ba2a78c6fc0efe0560882853514e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af29ba2a78c6fc0efe0560882853514e7">&#9670;&nbsp;</a></span>matrix_trans() <span class="overload">[2/4]</span></h2>

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          <td class="memname">matrix_result matrix_trans </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>&#160;</td>
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          <td></td>
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        </tr>
      </table>
</div><div class="memdoc">

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<a id="a84deae83650034337bbec470786573ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a84deae83650034337bbec470786573ba">&#9670;&nbsp;</a></span>matrix_trans() <span class="overload">[3/4]</span></h2>

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          <td class="memname">text matrix_trans </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
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      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b37a26e5a301338305992bae6e35230">&#9670;&nbsp;</a></span>matrix_trans() <span class="overload">[4/4]</span></h2>

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          <td class="memname">text matrix_trans </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a0a199e7cf9e56acd6a7f3fd78e73fa22">&#9670;&nbsp;</a></span>matrix_unblockize()</h2>

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          <td class="memname">matrix_result matrix_unblockize </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a id="a5060836ec7418a8ec7141740d709db5a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5060836ec7418a8ec7141740d709db5a">&#9670;&nbsp;</a></span>matrix_vec_mult() <span class="overload">[1/3]</span></h2>

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          <td class="memname">float8 [] matrix_vec_mult </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>in_args</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">matrix_in</td><td>Name of the table containing the matrix </td></tr>
    <tr><td class="paramname">in_args</td><td>Name-value pair string containing options for matrix_in </td></tr>
    <tr><td class="paramname">vector</td><td>Vector value used to be multiplied with matrix_in </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Column vector which is the result of matrix_in * vector </dd></dl>

</div>
</div>
<a id="a43ac21377c0932229f36fd4f11cedb2a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a43ac21377c0932229f36fd4f11cedb2a">&#9670;&nbsp;</a></span>matrix_vec_mult() <span class="overload">[2/3]</span></h2>

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          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>message</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a738b55e4fa41b7b8ef650e47ba85fad7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a738b55e4fa41b7b8ef650e47ba85fad7">&#9670;&nbsp;</a></span>matrix_vec_mult() <span class="overload">[3/3]</span></h2>

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          <td class="memname">text matrix_vec_mult </td>
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      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f88aa4f4a8e479276c927048e1814f2">&#9670;&nbsp;</a></span>matrix_zeros() <span class="overload">[1/4]</span></h2>

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          <td class="memname">matrix_result matrix_zeros </td>
          <td>(</td>
          <td class="paramtype">integer&#160;</td>
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        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>matrix_out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>out_args</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">row_id</td><td>Name of the column containing the row index for the zero matrix </td></tr>
    <tr><td class="paramname">col_id</td><td>Name of the column containing the column index for the zero matrix </td></tr>
    <tr><td class="paramname">matrix_out</td><td>Name of the table where to output the result matrix </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Name of the table containing the result matrix </dd></dl>

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