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 <div class="subTitle">org.eclipse.january.dataset</div>
 <h2 title="Class LinearAlgebra" class="title">Class LinearAlgebra</h2>
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 <pre>public class <a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.33">LinearAlgebra</a>
 extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
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 <th class="colFirst" scope="col">Modifier and Type</th>
 <th class="colLast" scope="col">Class and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static class&nbsp;</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.NormOrder.html" title="enum in org.eclipse.january.dataset">LinearAlgebra.NormOrder</a></span></code>
 <div class="block">Order value for norm</div>
 </td>
 </tr>
 </table>
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 <th class="colOne" scope="col">Constructor and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#LinearAlgebra--">LinearAlgebra</a></span>()</code>&nbsp;</td>
 </tr>
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 <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">&nbsp;</span></span><span id="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</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>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcCholeskyDecomposition-org.eclipse.january.dataset.Dataset-">calcCholeskyDecomposition</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate Cholesky decomposition <code>A = L L^T</code></div>
 </td>
 </tr>
 <tr id="i1" class="rowColor">
 <td class="colFirst"><code>static double</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConditionNumber-org.eclipse.january.dataset.Dataset-">calcConditionNumber</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate condition number of matrix by singular value decomposition method</div>
 </td>
 </tr>
 <tr id="i2" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConjugateGradient-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">calcConjugateGradient</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                      <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</code>
 <div class="block">Calculation <code>A x = v</code> by conjugate gradient method with the stopping criterion being
  that the estimated residual <code>r = v - A x</code> satisfies <code>||r|| &lt; ||v||</code> with maximum of 100 iterations</div>
 </td>
 </tr>
 <tr id="i3" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConjugateGradient-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-int-double-">calcConjugateGradient</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                      <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v,
                      int&nbsp;maxIterations,
                      double&nbsp;delta)</code>
 <div class="block">Calculation <code>A x = v</code> by conjugate gradient method with the stopping criterion being
  that the estimated residual <code>r = v - A x</code> satisfies <code>||r|| &lt; delta ||v||</code></div>
 </td>
 </tr>
 <tr id="i4" class="altColor">
 <td class="colFirst"><code>static double</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcDeterminant-org.eclipse.january.dataset.Dataset-">calcDeterminant</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
 </tr>
 <tr id="i5" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcEigenDecomposition-org.eclipse.january.dataset.Dataset-">calcEigenDecomposition</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate eigen-decomposition <code>A = V D V^T</code></div>
 </td>
 </tr>
 <tr id="i6" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcEigenvalues-org.eclipse.january.dataset.Dataset-">calcEigenvalues</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
 </tr>
 <tr id="i7" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcInverse-org.eclipse.january.dataset.Dataset-">calcInverse</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate inverse of square dataset</div>
 </td>
 </tr>
 <tr id="i8" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcLUDecomposition-org.eclipse.january.dataset.Dataset-">calcLUDecomposition</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate LU decomposition <code>A = P^-1 L U</code></div>
 </td>
 </tr>
 <tr id="i9" class="rowColor">
 <td class="colFirst"><code>static int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcMatrixRank-org.eclipse.january.dataset.Dataset-">calcMatrixRank</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate matrix rank by singular value decomposition method</div>
 </td>
 </tr>
 <tr id="i10" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcPseudoInverse-org.eclipse.january.dataset.Dataset-">calcPseudoInverse</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate (Moore-Penrose) pseudo-inverse</div>
 </td>
 </tr>
 <tr id="i11" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcQRDecomposition-org.eclipse.january.dataset.Dataset-">calcQRDecomposition</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate QR decomposition <code>A = Q R</code></div>
 </td>
 </tr>
 <tr id="i12" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcSingularValueDecomposition-org.eclipse.january.dataset.Dataset-">calcSingularValueDecomposition</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate singular value decomposition <code>A = U S V^T</code></div>
 </td>
 </tr>
 <tr id="i13" class="rowColor">
 <td class="colFirst"><code>static double[]</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcSingularValues-org.eclipse.january.dataset.Dataset-">calcSingularValues</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
 </tr>
 <tr id="i14" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#crossProduct-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">crossProduct</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</code>
 <div class="block">Calculate the cross product of two datasets.</div>
 </td>
 </tr>
 <tr id="i15" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#crossProduct-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-int-int-int-">crossProduct</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b,
             int&nbsp;axisA,
             int&nbsp;axisB,
             int&nbsp;axisC)</code>
 <div class="block">Calculate the cross product of two datasets.</div>
 </td>
 </tr>
 <tr id="i16" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#dotProduct-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">dotProduct</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
           <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</code>
 <div class="block">Calculate the dot product of two datasets.</div>
 </td>
 </tr>
 <tr id="i17" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#kroneckerProduct-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">kroneckerProduct</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                 <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</code>
 <div class="block">Create the Kronecker product as defined by
  <code>kron[k0,...,kN] = a[i0,...,iN] * b[j0,...,jN]</code>
  where <code>kn = sn * in + jn</code> for <code>n = 0...N</code> and <code>s</code> is shape of <code>b</code></div>
 </td>
 </tr>
 <tr id="i18" class="altColor">
 <td class="colFirst"><code>static double</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm-org.eclipse.january.dataset.Dataset-">norm</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
 </tr>
 <tr id="i19" class="rowColor">
 <td class="colFirst"><code>static double</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm-org.eclipse.january.dataset.Dataset-double-">norm</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
     double&nbsp;p)</code>&nbsp;</td>
 </tr>
 <tr id="i20" class="altColor">
 <td class="colFirst"><code>static double</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.LinearAlgebra.NormOrder-">norm</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
     <a href="../../../../org/eclipse/january/dataset/LinearAlgebra.NormOrder.html" title="enum in org.eclipse.january.dataset">LinearAlgebra.NormOrder</a>&nbsp;order)</code>&nbsp;</td>
 </tr>
 <tr id="i21" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#outerProduct-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">outerProduct</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</code>
 <div class="block">Calculate the outer product of two datasets</div>
 </td>
 </tr>
 <tr id="i22" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#power-org.eclipse.january.dataset.Dataset-int-">power</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
      int&nbsp;n)</code>
 <div class="block">Raise dataset to given power by matrix multiplication</div>
 </td>
 </tr>
 <tr id="i23" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#solve-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">solve</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
      <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</code>
 <div class="block">Solve linear matrix equation <code>A x = v</code></div>
 </td>
 </tr>
 <tr id="i24" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#solveSVD-org.eclipse.january.dataset.Dataset-org.eclipse.january.dataset.Dataset-">solveSVD</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
         <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</code>
 <div class="block">Solve least squares matrix equation <code>A x = v</code> by SVD</div>
 </td>
 </tr>
 <tr id="i25" class="rowColor">
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                 <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b,
                 int[]&nbsp;axisa,
                 int[]&nbsp;axisb)</code>
 <div class="block">Calculate the tensor dot product over given axes.</div>
 </td>
 </tr>
 <tr id="i26" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
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                 int&nbsp;axisb)</code>
 <div class="block">Calculate the tensor dot product over given axes.</div>
 </td>
 </tr>
 <tr id="i27" class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#trace-org.eclipse.january.dataset.Dataset-">trace</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>
 <div class="block">Calculate trace of dataset - sum of values over 1st axis and 2nd axis</div>
 </td>
 </tr>
 <tr id="i28" class="altColor">
 <td class="colFirst"><code>static <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#trace-org.eclipse.january.dataset.Dataset-int-int-int-">trace</a></span>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
      int&nbsp;offset,
      int&nbsp;axis1,
      int&nbsp;axis2)</code>
 <div class="block">Calculate trace of dataset - sum of values over axis1 and axis2 where axis2 is offset</div>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.46">tensorDotProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                        <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b,
                                        int&nbsp;axisa,
                                        int&nbsp;axisb)</pre>
 <div class="block">Calculate the tensor dot product over given axes. This is the sum of products of elements selected
  from the given axes in each dataset</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dd><code>axisa</code> - axis dimension in a to sum over (can be -ve)</dd>
 <dd><code>axisb</code> - axis dimension in b to sum over (can be -ve)</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>tensor dot product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.117">tensorDotProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                        <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b,
                                        int[]&nbsp;axisa,
                                        int[]&nbsp;axisb)</pre>
 <div class="block">Calculate the tensor dot product over given axes. This is the sum of products of elements selected
  from the given axes in each dataset</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dd><code>axisa</code> - axis dimensions in a to sum over (can be -ve)</dd>
 <dd><code>axisb</code> - axis dimensions in b to sum over (can be -ve)</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>tensor dot product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.205">dotProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                  <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</pre>
 <div class="block">Calculate the dot product of two datasets. When <b>b</b> is a 1D dataset, the sum product over
  the last axis of <b>a</b> and <b>b</b> is returned. Where <b>a</b> is also a 1D dataset, a zero-rank dataset
  is returned. If <b>b</b> is 2D or higher, its second-to-last axis is used</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>dot product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.217">outerProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                    <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</pre>
 <div class="block">Calculate the outer product of two datasets</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>outer product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.255">crossProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                    <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</pre>
 <div class="block">Calculate the cross product of two datasets. Datasets must be broadcastable and
  possess last dimensions of length 2 or 3</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>cross product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.270">crossProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                    <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b,
                                    int&nbsp;axisA,
                                    int&nbsp;axisB,
                                    int&nbsp;axisC)</pre>
 <div class="block">Calculate the cross product of two datasets. Datasets must be broadcastable and
  possess dimensions of length 2 or 3. The axis parameters can be negative to indicate
  dimensions from the end of their shapes</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dd><code>axisA</code> - dimension to be used a vector (must have length of 2 or 3)</dd>
 <dd><code>axisB</code> - dimension to be used a vector (must have length of 2 or 3)</dd>
 <dd><code>axisC</code> - dimension to assign as cross-product</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>cross product</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.495">power</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                             int&nbsp;n)</pre>
 <div class="block">Raise dataset to given power by matrix multiplication</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>n</code> - power</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>a ** n</code></dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.515">kroneckerProduct</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                        <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;b)</pre>
 <div class="block">Create the Kronecker product as defined by
  <code>kron[k0,...,kN] = a[i0,...,iN] * b[j0,...,jN]</code>
  where <code>kn = sn * in + jn</code> for <code>n = 0...N</code> and <code>s</code> is shape of <code>b</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>b</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>Kronecker product of a and b</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.611">trace</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate trace of dataset - sum of values over 1st axis and 2nd axis</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>trace of dataset</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.623">trace</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                             int&nbsp;offset,
                             int&nbsp;axis1,
                             int&nbsp;axis2)</pre>
 <div class="block">Calculate trace of dataset - sum of values over axis1 and axis2 where axis2 is offset</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>offset</code> - </dd>
 <dd><code>axis1</code> - </dd>
 <dd><code>axis2</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>trace of dataset</dd>
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 <pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.744">norm</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>norm of dataset</dd>
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                           <a href="../../../../org/eclipse/january/dataset/LinearAlgebra.NormOrder.html" title="enum in org.eclipse.january.dataset">LinearAlgebra.NormOrder</a>&nbsp;order)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>order</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>norm of dataset</dd>
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 <pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.859">norm</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                           double&nbsp;p)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>p</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>p-norm of dataset</dd>
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 <pre>public static&nbsp;double[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.977">calcSingularValues</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>array of singular values</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.988">calcSingularValueDecomposition</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate singular value decomposition <code>A = U S V^T</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>array of U - orthogonal matrix, s - singular values vector, V - orthogonal matrix</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.999">calcPseudoInverse</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate (Moore-Penrose) pseudo-inverse</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>pseudo-inverse</dd>
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 <pre>public static&nbsp;int&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1009">calcMatrixRank</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate matrix rank by singular value decomposition method</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>effective numerical rank of matrix</dd>
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 <pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1019">calcConditionNumber</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate condition number of matrix by singular value decomposition method</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>condition number</dd>
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 <pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1028">calcDeterminant</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>determinant of dataset</dd>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1037">calcEigenvalues</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>dataset of eigenvalues (can be double or complex double)</dd>
 </dl>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1053">calcEigenDecomposition</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate eigen-decomposition <code>A = V D V^T</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>array of D eigenvalues (can be double or complex double) and V eigenvectors</dd>
 </dl>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1073">calcQRDecomposition</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate QR decomposition <code>A = Q R</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>array of Q and R</dd>
 </dl>
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 </ul>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1083">calcLUDecomposition</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate LU decomposition <code>A = P^-1 L U</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>array of L, U and P</dd>
 </dl>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1094">calcInverse</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate inverse of square dataset</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>inverse</dd>
 </dl>
 </li>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1105">solve</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</pre>
 <div class="block">Solve linear matrix equation <code>A x = v</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>v</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>x</dd>
 </dl>
 </li>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1122">solveSVD</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</pre>
 <div class="block">Solve least squares matrix equation <code>A x = v</code> by SVD</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>v</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>x</dd>
 </dl>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1137">calcCholeskyDecomposition</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</pre>
 <div class="block">Calculate Cholesky decomposition <code>A = L L^T</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>L</dd>
 </dl>
 </li>
 </ul>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1149">calcConjugateGradient</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v)</pre>
 <div class="block">Calculation <code>A x = v</code> by conjugate gradient method with the stopping criterion being
  that the estimated residual <code>r = v - A x</code> satisfies <code>||r|| &lt; ||v||</code> with maximum of 100 iterations</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>v</code> - </dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>value of <code>A^-1 v</code> by conjugate gradient method</dd>
 </dl>
 </li>
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 <pre>public static&nbsp;<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1162">calcConjugateGradient</a>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a,
                                             <a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;v,
                                             int&nbsp;maxIterations,
                                             double&nbsp;delta)</pre>
 <div class="block">Calculation <code>A x = v</code> by conjugate gradient method with the stopping criterion being
  that the estimated residual <code>r = v - A x</code> satisfies <code>||r|| &lt; delta ||v||</code></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>a</code> - </dd>
 <dd><code>v</code> - </dd>
 <dd><code>maxIterations</code> - </dd>
 <dd><code>delta</code> - parameter used by stopping criterion</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>value of <code>A^-1 v</code> by conjugate gradient method</dd>
 </dl>
 </li>
 </ul>
 </li>
 </ul>
 </li>
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