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<h2 title="Class EigenvalueDecomposition" class="title">Class EigenvalueDecomposition</h2>
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<pre>public class <span class="strong">EigenvalueDecomposition</span>
extends <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <a href="/usr/share/doc/default-jdk-doc/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre>
<div class="block">Eigenvalues and eigenvectors of a real matrix.
<P>
If A is symmetric, then A = V*D*V' where the eigenvalue matrix D is
diagonal and the eigenvector matrix V is orthogonal.
I.e. A = V.times(D.times(V.transpose())) and
V.times(V.transpose()) equals the identity matrix.
<P>
If A is not symmetric, then the eigenvalue matrix D is block diagonal
with the real eigenvalues in 1-by-1 blocks and any complex eigenvalues,
lambda + i*mu, in 2-by-2 blocks, [lambda, mu; -mu, lambda]. The
columns of V represent the eigenvectors in the sense that A*V = V*D,
i.e. A.times(V) equals V.times(D). The matrix V may be badly
conditioned, or even singular, so the validity of the equation
A = V*D*inverse(V) depends upon V.cond().</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../serialized-form.html#Jama.EigenvalueDecomposition">Serialized Form</a></dd></dl>
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<td class="colOne"><code><strong><a href="../Jama/EigenvalueDecomposition.html#EigenvalueDecomposition(Jama.Matrix)">EigenvalueDecomposition</a></strong>(<a href="../Jama/Matrix.html" title="class in Jama">Matrix</a> Arg)</code>
<div class="block">Check for symmetry, then construct the eigenvalue decomposition
Structure to access D and V.</div>
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<td class="colFirst"><code><a href="../Jama/Matrix.html" title="class in Jama">Matrix</a></code></td>
<td class="colLast"><code><strong><a href="../Jama/EigenvalueDecomposition.html#getD()">getD</a></strong>()</code>
<div class="block">Return the block diagonal eigenvalue matrix</div>
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<td class="colFirst"><code>double[]</code></td>
<td class="colLast"><code><strong><a href="../Jama/EigenvalueDecomposition.html#getImagEigenvalues()">getImagEigenvalues</a></strong>()</code>
<div class="block">Return the imaginary parts of the eigenvalues</div>
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<td class="colFirst"><code>double[]</code></td>
<td class="colLast"><code><strong><a href="../Jama/EigenvalueDecomposition.html#getRealEigenvalues()">getRealEigenvalues</a></strong>()</code>
<div class="block">Return the real parts of the eigenvalues</div>
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<td class="colFirst"><code><a href="../Jama/Matrix.html" title="class in Jama">Matrix</a></code></td>
<td class="colLast"><code><strong><a href="../Jama/EigenvalueDecomposition.html#getV()">getV</a></strong>()</code>
<div class="block">Return the eigenvector matrix</div>
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<h4>EigenvalueDecomposition</h4>
<pre>public EigenvalueDecomposition(<a href="../Jama/Matrix.html" title="class in Jama">Matrix</a> Arg)</pre>
<div class="block">Check for symmetry, then construct the eigenvalue decomposition
Structure to access D and V.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>Arg</code> - Square matrix</dd></dl>
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<pre>public <a href="../Jama/Matrix.html" title="class in Jama">Matrix</a> getV()</pre>
<div class="block">Return the eigenvector matrix</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>V</dd></dl>
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<pre>public double[] getRealEigenvalues()</pre>
<div class="block">Return the real parts of the eigenvalues</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>real(diag(D))</dd></dl>
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<pre>public double[] getImagEigenvalues()</pre>
<div class="block">Return the imaginary parts of the eigenvalues</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>imag(diag(D))</dd></dl>
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<pre>public <a href="../Jama/Matrix.html" title="class in Jama">Matrix</a> getD()</pre>
<div class="block">Return the block diagonal eigenvalue matrix</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>D</dd></dl>
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