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+<div class="header">
+<h1 title="Package" class="title">Package&nbsp;org.apache.commons.math3.linear</h1>
+<div class="docSummary">
+<div class="block">Linear algebra support.</div>
+</div>
+<p>See:&nbsp;<a href="#package_description">Description</a></p>
+</div>
+<div class="contentContainer">
+<ul class="blockList">
+<li class="blockList">
+<table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Interface Summary table, listing interfaces, and an explanation">
+<caption><span>Interface Summary</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Interface</th>
+<th class="colLast" scope="col">Description</th>
+</tr>
+<tbody>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/AnyMatrix.html" title="interface in org.apache.commons.math3.linear">AnyMatrix</a></td>
+<td class="colLast">
+<div class="block">Interface defining very basic matrix operations.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DecompositionSolver.html" title="interface in org.apache.commons.math3.linear">DecompositionSolver</a></td>
+<td class="colLast">
+<div class="block">Interface handling decomposition algorithms that can solve A &times; X = B.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldDecompositionSolver.html" title="interface in org.apache.commons.math3.linear">FieldDecompositionSolver</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Interface handling decomposition algorithms that can solve A &times; X = B.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldMatrix.html" title="interface in org.apache.commons.math3.linear">FieldMatrix</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Interface defining field-valued matrix with basic algebraic operations.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldMatrixChangingVisitor.html" title="interface in org.apache.commons.math3.linear">FieldMatrixChangingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;?&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Interface defining a visitor for matrix entries.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldMatrixPreservingVisitor.html" title="interface in org.apache.commons.math3.linear">FieldMatrixPreservingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;?&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Interface defining a visitor for matrix entries.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldVector.html" title="interface in org.apache.commons.math3.linear">FieldVector</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Interface defining a field-valued vector with basic algebraic operations.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldVectorChangingVisitor.html" title="interface in org.apache.commons.math3.linear">FieldVectorChangingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;?&gt;&gt;</td>
+<td class="colLast">
+<div class="block">This interface defines a visitor for the entries of a vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldVectorPreservingVisitor.html" title="interface in org.apache.commons.math3.linear">FieldVectorPreservingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;?&gt;&gt;</td>
+<td class="colLast">
+<div class="block">This interface defines a visitor for the entries of a vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealMatrix.html" title="interface in org.apache.commons.math3.linear">RealMatrix</a></td>
+<td class="colLast">
+<div class="block">Interface defining a real-valued matrix with basic algebraic operations.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealMatrixChangingVisitor.html" title="interface in org.apache.commons.math3.linear">RealMatrixChangingVisitor</a></td>
+<td class="colLast">
+<div class="block">Interface defining a visitor for matrix entries.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealMatrixPreservingVisitor.html" title="interface in org.apache.commons.math3.linear">RealMatrixPreservingVisitor</a></td>
+<td class="colLast">
+<div class="block">Interface defining a visitor for matrix entries.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealVectorChangingVisitor.html" title="interface in org.apache.commons.math3.linear">RealVectorChangingVisitor</a></td>
+<td class="colLast">
+<div class="block">This interface defines a visitor for the entries of a vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealVectorPreservingVisitor.html" title="interface in org.apache.commons.math3.linear">RealVectorPreservingVisitor</a></td>
+<td class="colLast">
+<div class="block">This interface defines a visitor for the entries of a vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/SparseRealMatrix.html" title="interface in org.apache.commons.math3.linear">SparseRealMatrix</a></td>
+<td class="colLast">
+<div class="block">Marker interface for <a href="../../../../../org/apache/commons/math3/linear/RealMatrix.html" title="interface in org.apache.commons.math3.linear"><code>RealMatrix</code></a> implementations that require sparse backing storage</div>
+</td>
+</tr>
+</tbody>
+</table>
+</li>
+<li class="blockList">
+<table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Class Summary table, listing classes, and an explanation">
+<caption><span>Class Summary</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Class</th>
+<th class="colLast" scope="col">Description</th>
+</tr>
+<tbody>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/AbstractFieldMatrix.html" title="class in org.apache.commons.math3.linear">AbstractFieldMatrix</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Basic implementation of <a href="../../../../../org/apache/commons/math3/linear/FieldMatrix.html" title="interface in org.apache.commons.math3.linear"><code>FieldMatrix</code></a> methods regardless of the underlying storage.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/AbstractRealMatrix.html" title="class in org.apache.commons.math3.linear">AbstractRealMatrix</a></td>
+<td class="colLast">
+<div class="block">Basic implementation of RealMatrix methods regardless of the underlying storage.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/Array2DRowFieldMatrix.html" title="class in org.apache.commons.math3.linear">Array2DRowFieldMatrix</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Implementation of FieldMatrix<T> using a <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3"><code>FieldElement</code></a>[][] array to store entries.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/Array2DRowRealMatrix.html" title="class in org.apache.commons.math3.linear">Array2DRowRealMatrix</a></td>
+<td class="colLast">
+<div class="block">Implementation of <a href="../../../../../org/apache/commons/math3/linear/RealMatrix.html" title="interface in org.apache.commons.math3.linear"><code>RealMatrix</code></a> using a <code>double[][]</code> array to
+ store entries.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/ArrayFieldVector.html" title="class in org.apache.commons.math3.linear">ArrayFieldVector</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">This class implements the <a href="../../../../../org/apache/commons/math3/linear/FieldVector.html" title="interface in org.apache.commons.math3.linear"><code>FieldVector</code></a> interface with a <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3"><code>FieldElement</code></a> array.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/ArrayRealVector.html" title="class in org.apache.commons.math3.linear">ArrayRealVector</a></td>
+<td class="colLast">
+<div class="block">This class implements the <a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear"><code>RealVector</code></a> interface with a double array.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/BlockFieldMatrix.html" title="class in org.apache.commons.math3.linear">BlockFieldMatrix</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Cache-friendly implementation of FieldMatrix using a flat arrays to store
+ square blocks of the matrix.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/BlockRealMatrix.html" title="class in org.apache.commons.math3.linear">BlockRealMatrix</a></td>
+<td class="colLast">
+<div class="block">Cache-friendly implementation of RealMatrix using a flat arrays to store
+ square blocks of the matrix.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/CholeskyDecomposition.html" title="class in org.apache.commons.math3.linear">CholeskyDecomposition</a></td>
+<td class="colLast">
+<div class="block">Calculates the Cholesky decomposition of a matrix.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/ConjugateGradient.html" title="class in org.apache.commons.math3.linear">ConjugateGradient</a></td>
+<td class="colLast">
+<div class="block">
+ This is an implementation of the conjugate gradient method for
+ <a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear"><code>RealLinearOperator</code></a>.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DefaultFieldMatrixChangingVisitor.html" title="class in org.apache.commons.math3.linear">DefaultFieldMatrixChangingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Default implementation of the <a href="../../../../../org/apache/commons/math3/linear/FieldMatrixChangingVisitor.html" title="interface in org.apache.commons.math3.linear"><code>FieldMatrixChangingVisitor</code></a> interface.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DefaultFieldMatrixPreservingVisitor.html" title="class in org.apache.commons.math3.linear">DefaultFieldMatrixPreservingVisitor</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Default implementation of the <a href="../../../../../org/apache/commons/math3/linear/FieldMatrixPreservingVisitor.html" title="interface in org.apache.commons.math3.linear"><code>FieldMatrixPreservingVisitor</code></a> interface.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DefaultIterativeLinearSolverEvent.html" title="class in org.apache.commons.math3.linear">DefaultIterativeLinearSolverEvent</a></td>
+<td class="colLast">
+<div class="block">A default concrete implementation of the abstract class
+ <a href="../../../../../org/apache/commons/math3/linear/IterativeLinearSolverEvent.html" title="class in org.apache.commons.math3.linear"><code>IterativeLinearSolverEvent</code></a>.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DefaultRealMatrixChangingVisitor.html" title="class in org.apache.commons.math3.linear">DefaultRealMatrixChangingVisitor</a></td>
+<td class="colLast">
+<div class="block">Default implementation of the <a href="../../../../../org/apache/commons/math3/linear/RealMatrixChangingVisitor.html" title="interface in org.apache.commons.math3.linear"><code>RealMatrixChangingVisitor</code></a> interface.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DefaultRealMatrixPreservingVisitor.html" title="class in org.apache.commons.math3.linear">DefaultRealMatrixPreservingVisitor</a></td>
+<td class="colLast">
+<div class="block">Default implementation of the <a href="../../../../../org/apache/commons/math3/linear/RealMatrixPreservingVisitor.html" title="interface in org.apache.commons.math3.linear"><code>RealMatrixPreservingVisitor</code></a> interface.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/DiagonalMatrix.html" title="class in org.apache.commons.math3.linear">DiagonalMatrix</a></td>
+<td class="colLast">
+<div class="block">Implementation of a diagonal matrix.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/EigenDecomposition.html" title="class in org.apache.commons.math3.linear">EigenDecomposition</a></td>
+<td class="colLast">
+<div class="block">Calculates the eigen decomposition of a real matrix.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/FieldLUDecomposition.html" title="class in org.apache.commons.math3.linear">FieldLUDecomposition</a>&lt;T extends <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;T&gt;&gt;</td>
+<td class="colLast">
+<div class="block">Calculates the LUP-decomposition of a square matrix.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</a></td>
+<td class="colLast">
+<div class="block">This abstract class defines an iterative solver for the linear system A
+ &middot; x = b.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/IterativeLinearSolverEvent.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolverEvent</a></td>
+<td class="colLast">
+<div class="block">This is the base class for all events occurring during the iterations of a
+ <a href="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear"><code>IterativeLinearSolver</code></a>.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/JacobiPreconditioner.html" title="class in org.apache.commons.math3.linear">JacobiPreconditioner</a></td>
+<td class="colLast">
+<div class="block">This class implements the standard Jacobi (diagonal) preconditioner.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/LUDecomposition.html" title="class in org.apache.commons.math3.linear">LUDecomposition</a></td>
+<td class="colLast">
+<div class="block">Calculates the LUP-decomposition of a square matrix.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/MatrixUtils.html" title="class in org.apache.commons.math3.linear">MatrixUtils</a></td>
+<td class="colLast">
+<div class="block">A collection of static methods that operate on or return matrices.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/OpenMapRealMatrix.html" title="class in org.apache.commons.math3.linear">OpenMapRealMatrix</a></td>
+<td class="colLast">
+<div class="block">Sparse matrix implementation based on an open addressed map.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/OpenMapRealVector.html" title="class in org.apache.commons.math3.linear">OpenMapRealVector</a></td>
+<td class="colLast">
+<div class="block">This class implements the <a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear"><code>RealVector</code></a> interface with a
+ <a href="../../../../../org/apache/commons/math3/util/OpenIntToDoubleHashMap.html" title="class in org.apache.commons.math3.util"><code>OpenIntToDoubleHashMap</code></a> backing store.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">PreconditionedIterativeLinearSolver</a></td>
+<td class="colLast">
+<div class="block">
+ This abstract class defines preconditioned iterative solvers.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/QRDecomposition.html" title="class in org.apache.commons.math3.linear">QRDecomposition</a></td>
+<td class="colLast">
+<div class="block">Calculates the QR-decomposition of a matrix.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</a></td>
+<td class="colLast">
+<div class="block">This class defines a linear operator operating on real (<code>double</code>)
+ vector spaces.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealMatrixFormat.html" title="class in org.apache.commons.math3.linear">RealMatrixFormat</a></td>
+<td class="colLast">
+<div class="block">Formats a <code>nxm</code> matrix in components list format
+ "{{a<sub>0</sub><sub>0</sub>,a<sub>0</sub><sub>1</sub>, ...,
+ a<sub>0</sub><sub>m-1</sub>},{a<sub>1</sub><sub>0</sub>,
+ a<sub>1</sub><sub>1</sub>, ..., a<sub>1</sub><sub>m-1</sub>},{...},{
+ a<sub>n-1</sub><sub>0</sub>, a<sub>n-1</sub><sub>1</sub>, ...,
+ a<sub>n-1</sub><sub>m-1</sub>}}".</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a></td>
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+<div class="block">Marker class for RealVectors that require sparse backing storage</div>
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+ Implementation of the SYMMLQ iterative linear solver proposed by <a
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+<tr>
+<th class="colFirst" scope="col">Exception</th>
+<th class="colLast" scope="col">Description</th>
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+<td class="colLast">
+<div class="block">Exception to be thrown when either the number of rows or the number of
+ columns of a matrix do not match the expected values.</div>
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+<div class="block">Exception to be thrown when a symmetric, definite positive
+ <a href="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear"><code>RealLinearOperator</code></a> is expected.</div>
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+<td class="colLast">
+<div class="block">Exception to be thrown when a square matrix is expected.</div>
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+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</a></td>
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+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/NonSymmetricMatrixException.html" title="class in org.apache.commons.math3.linear">NonSymmetricMatrixException</a></td>
+<td class="colLast">
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+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a></td>
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+<div class="block">Exception to be thrown when a non-singular matrix is expected.</div>
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+<td class="colFirst"><a href="../../../../../org/apache/commons/math3/linear/SingularOperatorException.html" title="class in org.apache.commons.math3.linear">SingularOperatorException</a></td>
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+<div class="block">Exception to be thrown when trying to invert a singular operator.</div>
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+</tr>
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+</ul>
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+<!-- -->
+</a>
+<h2 title="Package org.apache.commons.math3.linear Description">Package org.apache.commons.math3.linear Description</h2>
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