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| <h2 title="Class JacobiPreconditioner" class="title">Class JacobiPreconditioner</h2> |
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| <li><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">org.apache.commons.math3.linear.RealLinearOperator</a></li> |
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| <li>org.apache.commons.math3.linear.JacobiPreconditioner</li> |
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| <pre>public class <span class="strong">JacobiPreconditioner</span> |
| extends <a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></pre> |
| <div class="block">This class implements the standard Jacobi (diagonal) preconditioner. For a |
| matrix A<sub>ij</sub>, this preconditioner is |
| M = diag(1 / A<sub>11</sub>, 1 / A<sub>22</sub>, …).</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.0</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: JacobiPreconditioner.java 1422195 2012-12-15 06:45:18Z psteitz $</dd></dl> |
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| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#JacobiPreconditioner(double[], boolean)">JacobiPreconditioner</a></strong>(double[] diag, |
| boolean deep)</code> |
| <div class="block">Creates a new instance of this class.</div> |
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| <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html" title="class in org.apache.commons.math3.linear">JacobiPreconditioner</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#create(org.apache.commons.math3.linear.RealLinearOperator)">create</a></strong>(<a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a> a)</code> |
| <div class="block">Creates a new instance of this class.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>int</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#getColumnDimension()">getColumnDimension</a></strong>()</code> |
| <div class="block">Returns the dimension of the domain of this operator.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>int</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#getRowDimension()">getRowDimension</a></strong>()</code> |
| <div class="block">Returns the dimension of the codomain of this operator.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#operate(org.apache.commons.math3.linear.RealVector)">operate</a></strong>(<a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> x)</code> |
| <div class="block">Returns the result of multiplying <code>this</code> by the vector <code>x</code>.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html#sqrt()">sqrt</a></strong>()</code> |
| <div class="block">Returns the square root of <code>this</code> diagonal operator.</div> |
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| <code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#isTransposable()">isTransposable</a>, <a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#operateTranspose(org.apache.commons.math3.linear.RealVector)">operateTranspose</a></code></li> |
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| <h4>JacobiPreconditioner</h4> |
| <pre>public JacobiPreconditioner(double[] diag, |
| boolean deep)</pre> |
| <div class="block">Creates a new instance of this class.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>diag</code> - the diagonal coefficients of the linear operator to be |
| preconditioned</dd><dd><code>deep</code> - <code>true</code> if a deep copy of the above array should be |
| performed</dd></dl> |
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| <h4>create</h4> |
| <pre>public static <a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html" title="class in org.apache.commons.math3.linear">JacobiPreconditioner</a> create(<a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a> a) |
| throws <a href="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</a></pre> |
| <div class="block">Creates a new instance of this class. This method extracts the diagonal |
| coefficients of the specified linear operator. If <code>a</code> does not |
| extend <a href="../../../../../org/apache/commons/math3/linear/AbstractRealMatrix.html" title="class in org.apache.commons.math3.linear"><code>AbstractRealMatrix</code></a>, then the coefficients of the |
| underlying matrix are not accessible, coefficient extraction is made by |
| matrix-vector products with the basis vectors (and might therefore take |
| some time). With matrices, direct entry access is carried out.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the linear operator for which the preconditioner should be built</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the diagonal preconditioner made of the inverse of the diagonal |
| coefficients of the specified linear operator</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</a></code> - if <code>a</code> is not square</dd></dl> |
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| <h4>getColumnDimension</h4> |
| <pre>public int getColumnDimension()</pre> |
| <div class="block">Returns the dimension of the domain of this operator.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#getColumnDimension()">getColumnDimension</a></code> in class <code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></code></dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the number of columns of the underlying matrix</dd></dl> |
| </li> |
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| <a name="getRowDimension()"> |
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| <h4>getRowDimension</h4> |
| <pre>public int getRowDimension()</pre> |
| <div class="block">Returns the dimension of the codomain of this operator.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#getRowDimension()">getRowDimension</a></code> in class <code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></code></dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the number of rows of the underlying matrix</dd></dl> |
| </li> |
| </ul> |
| <a name="operate(org.apache.commons.math3.linear.RealVector)"> |
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| <h4>operate</h4> |
| <pre>public <a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> operate(<a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> x)</pre> |
| <div class="block">Returns the result of multiplying <code>this</code> by the vector <code>x</code>.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html#operate(org.apache.commons.math3.linear.RealVector)">operate</a></code> in class <code><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the vector to operate on</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the product of <code>this</code> instance with <code>x</code></dd></dl> |
| </li> |
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| <a name="sqrt()"> |
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| <h4>sqrt</h4> |
| <pre>public <a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a> sqrt()</pre> |
| <div class="block">Returns the square root of <code>this</code> diagonal operator. More |
| precisely, this method returns |
| P = diag(1 / √A<sub>11</sub>, 1 / √A<sub>22</sub>, …).</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the square root of <code>this</code> preconditioner</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.1</dd></dl> |
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