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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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<li>org.eclipse.january.dataset.LinearAlgebra</li>
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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/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
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<caption><span>Nested Classes</span><span class="tabEnd">&nbsp;</span></caption>
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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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.NormOrder.html" title="enum in org.eclipse.january.dataset">LinearAlgebra.NormOrder</a></strong></code>
<div class="block">Order value for norm</div>
</td>
</tr>
</table>
</li>
</ul>
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<h3>Constructor Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#LinearAlgebra()">LinearAlgebra</a></strong>()</code>&nbsp;</td>
</tr>
</table>
</li>
</ul>
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<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcCholeskyDecomposition(org.eclipse.january.dataset.Dataset)">calcCholeskyDecomposition</a></strong>(<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 A = L L^T</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConditionNumber(org.eclipse.january.dataset.Dataset)">calcConditionNumber</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConjugateGradient(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">calcConjugateGradient</a></strong>(<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 A x = v by conjugate gradient method with the stopping criterion being
that the estimated residual r = v - A x satisfies ||r|| < ||v|| with maximum of 100 iterations</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcConjugateGradient(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset,%20int,%20double)">calcConjugateGradient</a></strong>(<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 A x = v by conjugate gradient method with the stopping criterion being
that the estimated residual r = v - A x satisfies ||r|| < delta ||v||</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcDeterminant(org.eclipse.january.dataset.Dataset)">calcDeterminant</a></strong>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcEigenDecomposition(org.eclipse.january.dataset.Dataset)">calcEigenDecomposition</a></strong>(<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 A = V D V^T</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcEigenvalues(org.eclipse.january.dataset.Dataset)">calcEigenvalues</a></strong>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcInverse(org.eclipse.january.dataset.Dataset)">calcInverse</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcLUDecomposition(org.eclipse.january.dataset.Dataset)">calcLUDecomposition</a></strong>(<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 A = P^-1 L U</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcMatrixRank(org.eclipse.january.dataset.Dataset)">calcMatrixRank</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcPseudoInverse(org.eclipse.january.dataset.Dataset)">calcPseudoInverse</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcQRDecomposition(org.eclipse.january.dataset.Dataset)">calcQRDecomposition</a></strong>(<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 A = Q R</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcSingularValueDecomposition(org.eclipse.january.dataset.Dataset)">calcSingularValueDecomposition</a></strong>(<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 A = U S V^T</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double[]</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#calcSingularValues(org.eclipse.january.dataset.Dataset)">calcSingularValues</a></strong>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#crossProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">crossProduct</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#crossProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset,%20int,%20int,%20int)">crossProduct</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#dotProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">dotProduct</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#kroneckerProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">kroneckerProduct</a></strong>(<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
kron[k0,...,kN] = a[i0,...,iN] * b[j0,...,jN]
where kn = sn * in + jn for n = 0...N and s is shape of b</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm(org.eclipse.january.dataset.Dataset)">norm</a></strong>(<a href="../../../../org/eclipse/january/dataset/Dataset.html" title="interface in org.eclipse.january.dataset">Dataset</a>&nbsp;a)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm(org.eclipse.january.dataset.Dataset,%20double)">norm</a></strong>(<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 class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#norm(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.LinearAlgebra.NormOrder)">norm</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#outerProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">outerProduct</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#power(org.eclipse.january.dataset.Dataset,%20int)">power</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#solve(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">solve</a></strong>(<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 A x = v</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#solveSVD(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset)">solveSVD</a></strong>(<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 A x = v by SVD</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#tensorDotProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset,%20int[],%20int[])">tensorDotProduct</a></strong>(<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)</code>
<div class="block">Calculate the tensor dot product over given axes.</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#tensorDotProduct(org.eclipse.january.dataset.Dataset,%20org.eclipse.january.dataset.Dataset,%20int,%20int)">tensorDotProduct</a></strong>(<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)</code>
<div class="block">Calculate the tensor dot product over given axes.</div>
</td>
</tr>
<tr 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#trace(org.eclipse.january.dataset.Dataset)">trace</a></strong>(<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 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><strong><a href="../../../../org/eclipse/january/dataset/LinearAlgebra.html#trace(org.eclipse.january.dataset.Dataset,%20int,%20int,%20int)">trace</a></strong>(<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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<code><a href="https://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="https://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="https://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="https://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="https://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="https://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="https://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="https://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="https://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="https://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="https://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>LinearAlgebra</h4>
<pre>public&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.33">LinearAlgebra</a>()</pre>
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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="strong">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="strong">Returns:</span></dt><dd>tensor dot product</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.127">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="strong">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="strong">Returns:</span></dt><dd>tensor dot product</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.226">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>b</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>dot product</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.238">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>b</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>outer product</dd></dl>
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<h4>crossProduct</h4>
<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.277">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>b</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>cross product</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.292">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="strong">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="strong">Returns:</span></dt><dd>cross product</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.558">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>n</code> - power</dd>
<dt><span class="strong">Returns:</span></dt><dd>a ** n</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.577">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
kron[k0,...,kN] = a[i0,...,iN] * b[j0,...,jN]
where kn = sn * in + jn for n = 0...N and s is shape of b</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>b</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>Kronecker product of a and b</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.674">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>trace of dataset</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.686">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="strong">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="strong">Returns:</span></dt><dd>trace of dataset</dd></dl>
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<pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.808">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>norm of dataset</dd></dl>
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<pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.817">norm</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/LinearAlgebra.NormOrder.html" title="enum in org.eclipse.january.dataset">LinearAlgebra.NormOrder</a>&nbsp;order)</pre>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>order</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>norm of dataset</dd></dl>
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<pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.923">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>p</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>p-norm of dataset</dd></dl>
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<pre>public static&nbsp;double[]&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1041">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>array of singular values</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.1052">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 A = U S V^T</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>array of U - orthogonal matrix, s - singular values vector, V - orthogonal matrix</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.1063">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>pseudo-inverse</dd></dl>
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<pre>public static&nbsp;int&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1073">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>effective numerical rank of matrix</dd></dl>
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<pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1083">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>condition number</dd></dl>
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<pre>public static&nbsp;double&nbsp;<a href="../../../../src-html/org/eclipse/january/dataset/LinearAlgebra.html#line.1092">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>determinant of dataset</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.1101">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">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.1117">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 A = V D V^T</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">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.1137">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 A = Q R</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>array of Q and R</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.1147">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 A = P^-1 L U</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>array of L, U and P</dd></dl>
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<h4>calcInverse</h4>
<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.1158">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="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>inverse</dd></dl>
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<h4>solve</h4>
<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.1169">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 A x = v</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>v</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>x</dd></dl>
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<h4>solveSVD</h4>
<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.1186">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 A x = v by SVD</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>v</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>x</dd></dl>
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<h4>calcCholeskyDecomposition</h4>
<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.1201">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 A = L L^T</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>L</dd></dl>
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<h4>calcConjugateGradient</h4>
<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.1213">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 A x = v by conjugate gradient method with the stopping criterion being
that the estimated residual r = v - A x satisfies ||r|| < ||v|| with maximum of 100 iterations</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - </dd><dd><code>v</code> - </dd>
<dt><span class="strong">Returns:</span></dt><dd>solution of A^-1 v by conjugate gradient method</dd></dl>
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<h4>calcConjugateGradient</h4>
<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.1226">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 A x = v by conjugate gradient method with the stopping criterion being
that the estimated residual r = v - A x satisfies ||r|| < delta ||v||</div>
<dl><dt><span class="strong">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="strong">Returns:</span></dt><dd>solution of A^-1 v by conjugate gradient method</dd></dl>
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