| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <!-- Generated by javadoc (1.8.0_121) on Fri Apr 14 22:10:59 PDT 2017 --> |
| <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> |
| <title>ConjugateGradientSolver (Mahout Math 0.13.0 API)</title> |
| <meta name="date" content="2017-04-14"> |
| <link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style"> |
| <script type="text/javascript" src="../../../../../script.js"></script> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| try { |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="ConjugateGradientSolver (Mahout Math 0.13.0 API)"; |
| } |
| } |
| catch(err) { |
| } |
| //--> |
| var methods = {"i0":10,"i1":10,"i2":10,"i3":10,"i4":10}; |
| var tabs = {65535:["t0","All Methods"],2:["t2","Instance Methods"],8:["t4","Concrete Methods"]}; |
| var altColor = "altColor"; |
| var rowColor = "rowColor"; |
| var tableTab = "tableTab"; |
| var activeTableTab = "activeTableTab"; |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar.top"> |
| <!-- --> |
| </a> |
| <div class="skipNav"><a href="#skip.navbar.top" title="Skip navigation links">Skip navigation links</a></div> |
| <a name="navbar.top.firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/ConjugateGradientSolver.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li>Prev Class</li> |
| <li><a href="../../../../../org/apache/mahout/math/solver/EigenDecomposition.html" title="class in org.apache.mahout.math.solver"><span class="typeNameLink">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/mahout/math/solver/ConjugateGradientSolver.html" target="_top">Frames</a></li> |
| <li><a href="ConjugateGradientSolver.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li><a href="#field.summary">Field</a> | </li> |
| <li><a href="#constructor.summary">Constr</a> | </li> |
| <li><a href="#method.summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field.detail">Field</a> | </li> |
| <li><a href="#constructor.detail">Constr</a> | </li> |
| <li><a href="#method.detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip.navbar.top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.mahout.math.solver</div> |
| <h2 title="Class ConjugateGradientSolver" class="title">Class ConjugateGradientSolver</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.mahout.math.solver.ConjugateGradientSolver</li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <hr> |
| <br> |
| <pre>public class <span class="typeNameLabel">ConjugateGradientSolver</span> |
| extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre> |
| <div class="block"><p>Implementation of a conjugate gradient iterative solver for linear systems. Implements both |
| standard conjugate gradient and pre-conditioned conjugate gradient. |
| |
| <p>Conjugate gradient requires the matrix A in the linear system Ax = b to be symmetric and positive |
| definite. For convenience, this implementation could be extended relatively easily to handle the |
| case where the input matrix to be be non-symmetric, in which case the system A'Ax = b would be solved. |
| Because this requires only one pass through the matrix A, it is faster than explicitly computing A'A, |
| then passing the results to the solver. |
| |
| <p>For inputs that may be ill conditioned (often the case for highly sparse input), this solver |
| also accepts a parameter, lambda, which adds a scaled identity to the matrix A, solving the system |
| (A + lambda*I)x = b. This obviously changes the solution, but it will guarantee solvability. The |
| ridge regression approach to linear regression is a common use of this feature. |
| |
| <p>If only an approximate solution is required, the maximum number of iterations or the error threshold |
| may be specified to end the algorithm early at the expense of accuracy. When the matrix A is ill conditioned, |
| it may sometimes be necessary to increase the maximum number of iterations above the default of A.numCols() |
| due to numerical issues. |
| |
| <p>By default the solver will run a.numCols() iterations or until the residual falls below 1E-9. |
| |
| <p>For more information on the conjugate gradient algorithm, see Golub & van Loan, "Matrix Computations", |
| sections 10.2 and 10.3 or the <a href="http://en.wikipedia.org/wiki/Conjugate_gradient">conjugate gradient |
| wikipedia article</a>.</div> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- =========== FIELD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field.summary"> |
| <!-- --> |
| </a> |
| <h3>Field Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation"> |
| <caption><span>Fields</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Field and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>static double</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#DEFAULT_MAX_ERROR">DEFAULT_MAX_ERROR</a></span></code> </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor.summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#ConjugateGradientSolver--">ConjugateGradientSolver</a></span>()</code> </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method.summary"> |
| <!-- --> |
| </a> |
| <h3>Method Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd"> </span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd"> </span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd"> </span></span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr id="i0" class="altColor"> |
| <td class="colFirst"><code>int</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#getIterations--">getIterations</a></span>()</code> |
| <div class="block">Returns the number of iterations run once the solver is complete.</div> |
| </td> |
| </tr> |
| <tr id="i1" class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#getResidualNorm--">getResidualNorm</a></span>()</code> |
| <div class="block">Returns the norm of the residual at the completion of the solver.</div> |
| </td> |
| </tr> |
| <tr id="i2" class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a></code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-">solve</a></span>(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b)</code> |
| <div class="block">Solves the system Ax = b with default termination criteria.</div> |
| </td> |
| </tr> |
| <tr id="i3" class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a></code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-org.apache.mahout.math.solver.Preconditioner-">solve</a></span>(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b, |
| <a href="../../../../../org/apache/mahout/math/solver/Preconditioner.html" title="interface in org.apache.mahout.math.solver">Preconditioner</a> precond)</code> |
| <div class="block">Solves the system Ax = b with default termination criteria using the specified preconditioner.</div> |
| </td> |
| </tr> |
| <tr id="i4" class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a></code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/mahout/math/solver/ConjugateGradientSolver.html#solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-org.apache.mahout.math.solver.Preconditioner-int-double-">solve</a></span>(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b, |
| <a href="../../../../../org/apache/mahout/math/solver/Preconditioner.html" title="interface in org.apache.mahout.math.solver">Preconditioner</a> preconditioner, |
| int maxIterations, |
| double maxError)</code> |
| <div class="block">Solves the system Ax = b, where A is a linear operator and b is a vector.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods.inherited.from.class.java.lang.Object"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone--" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals-java.lang.Object-" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize--" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass--" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode--" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify--" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString--" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait--" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait-long-int-" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ============ FIELD DETAIL =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field.detail"> |
| <!-- --> |
| </a> |
| <h3>Field Detail</h3> |
| <a name="DEFAULT_MAX_ERROR"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>DEFAULT_MAX_ERROR</h4> |
| <pre>public static final double DEFAULT_MAX_ERROR</pre> |
| <dl> |
| <dt><span class="seeLabel">See Also:</span></dt> |
| <dd><a href="../../../../../constant-values.html#org.apache.mahout.math.solver.ConjugateGradientSolver.DEFAULT_MAX_ERROR">Constant Field Values</a></dd> |
| </dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor.detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="ConjugateGradientSolver--"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>ConjugateGradientSolver</h4> |
| <pre>public ConjugateGradientSolver()</pre> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method.detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>solve</h4> |
| <pre>public <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> solve(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b)</pre> |
| <div class="block">Solves the system Ax = b with default termination criteria. A must be symmetric, square, and positive definite. |
| Only the squareness of a is checked, since testing for symmetry and positive definiteness are too expensive. If |
| an invalid matrix is specified, then the algorithm may not yield a valid result.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>a</code> - The linear operator A.</dd> |
| <dd><code>b</code> - The vector b.</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>The result x of solving the system.</dd> |
| <dt><span class="throwsLabel">Throws:</span></dt> |
| <dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if a is not square or if the size of b is not equal to the number of columns of a.</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-org.apache.mahout.math.solver.Preconditioner-"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>solve</h4> |
| <pre>public <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> solve(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b, |
| <a href="../../../../../org/apache/mahout/math/solver/Preconditioner.html" title="interface in org.apache.mahout.math.solver">Preconditioner</a> precond)</pre> |
| <div class="block">Solves the system Ax = b with default termination criteria using the specified preconditioner. A must be |
| symmetric, square, and positive definite. Only the squareness of a is checked, since testing for symmetry |
| and positive definiteness are too expensive. If an invalid matrix is specified, then the algorithm may not |
| yield a valid result.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>a</code> - The linear operator A.</dd> |
| <dd><code>b</code> - The vector b.</dd> |
| <dd><code>precond</code> - A preconditioner to use on A during the solution process.</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>The result x of solving the system.</dd> |
| <dt><span class="throwsLabel">Throws:</span></dt> |
| <dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if a is not square or if the size of b is not equal to the number of columns of a.</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="solve-org.apache.mahout.math.VectorIterable-org.apache.mahout.math.Vector-org.apache.mahout.math.solver.Preconditioner-int-double-"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>solve</h4> |
| <pre>public <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> solve(<a href="../../../../../org/apache/mahout/math/VectorIterable.html" title="interface in org.apache.mahout.math">VectorIterable</a> a, |
| <a href="../../../../../org/apache/mahout/math/Vector.html" title="interface in org.apache.mahout.math">Vector</a> b, |
| <a href="../../../../../org/apache/mahout/math/solver/Preconditioner.html" title="interface in org.apache.mahout.math.solver">Preconditioner</a> preconditioner, |
| int maxIterations, |
| double maxError)</pre> |
| <div class="block">Solves the system Ax = b, where A is a linear operator and b is a vector. Uses the specified preconditioner |
| to improve numeric stability and possibly speed convergence. This version of solve() allows control over the |
| termination and iteration parameters.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>a</code> - The matrix A.</dd> |
| <dd><code>b</code> - The vector b.</dd> |
| <dd><code>preconditioner</code> - The preconditioner to apply.</dd> |
| <dd><code>maxIterations</code> - The maximum number of iterations to run.</dd> |
| <dd><code>maxError</code> - The maximum amount of residual error to tolerate. The algorithm will run until the residual falls |
| below this value or until maxIterations are completed.</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>The result x of solving the system.</dd> |
| <dt><span class="throwsLabel">Throws:</span></dt> |
| <dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if the matrix is not square, if the size of b is not equal to the number of |
| columns of A, if maxError is less than zero, or if maxIterations is not positive.</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="getIterations--"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getIterations</h4> |
| <pre>public int getIterations()</pre> |
| <div class="block">Returns the number of iterations run once the solver is complete.</div> |
| <dl> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>The number of iterations run.</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="getResidualNorm--"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>getResidualNorm</h4> |
| <pre>public double getResidualNorm()</pre> |
| <div class="block">Returns the norm of the residual at the completion of the solver. Usually this should be close to zero except in |
| the case of a non positive definite matrix A, which results in an unsolvable system, or for ill conditioned A, in |
| which case more iterations than the default may be needed.</div> |
| <dl> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>The norm of the residual in the solution.</dd> |
| </dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| </div> |
| <!-- ========= END OF CLASS DATA ========= --> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar.bottom"> |
| <!-- --> |
| </a> |
| <div class="skipNav"><a href="#skip.navbar.bottom" title="Skip navigation links">Skip navigation links</a></div> |
| <a name="navbar.bottom.firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/ConjugateGradientSolver.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li>Prev Class</li> |
| <li><a href="../../../../../org/apache/mahout/math/solver/EigenDecomposition.html" title="class in org.apache.mahout.math.solver"><span class="typeNameLink">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/mahout/math/solver/ConjugateGradientSolver.html" target="_top">Frames</a></li> |
| <li><a href="ConjugateGradientSolver.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li><a href="#field.summary">Field</a> | </li> |
| <li><a href="#constructor.summary">Constr</a> | </li> |
| <li><a href="#method.summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field.detail">Field</a> | </li> |
| <li><a href="#constructor.detail">Constr</a> | </li> |
| <li><a href="#method.detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip.navbar.bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2008–2017 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |
