2019-07-10 01:18:01 +00:00
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<a href="../../Apatite/LinearAlgebra/Vector.html">Vector</a>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/ZeroVectorError" data-name="apatite::linearalgebra::zerovectorerror">
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<a href="../../Apatite/LinearAlgebra/ZeroVectorError.html">ZeroVectorError</a>
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<li class="parent open current" data-id="github.com/watzon/apatite/Apatite/Matrix" data-name="apatite::matrix(t)">
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<a href="../../Apatite/Matrix.html">Matrix</a>
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<li class=" current" data-id="github.com/watzon/apatite/Apatite/Matrix/EigenvalueDecomposition" data-name="apatite::matrix::eigenvaluedecomposition">
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<a href="../../Apatite/Matrix/EigenvalueDecomposition.html">EigenvalueDecomposition</a>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/Matrix/LupDecomposition" data-name="apatite::matrix::lupdecomposition">
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<a href="../../Apatite/Matrix/LupDecomposition.html">LupDecomposition</a>
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<a href="../../Array.html">Array</a>
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<div class="main-content">
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<h1 class="type-name">
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<span class="kind">class</span> Apatite::Matrix::EigenvalueDecomposition
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</h1>
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<ul class="superclass-hierarchy"><li class="superclass"><a href="../../Apatite/Matrix/EigenvalueDecomposition.html">Apatite::Matrix::EigenvalueDecomposition</a></li><li class="superclass">Reference</li><li class="superclass">Object</li></ul>
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<h2>Overview</h2>
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<p>Eigenvalues and eigenvectors of a real matrix.</p>
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<p>Computes the eigenvalues and eigenvectors of a matrix A.</p>
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<p>If A is diagonalizable, this provides matrices V and D
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such that A = V<em>D</em>V.inv, where D is the diagonal matrix with entries
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equal to the eigenvalues and V is formed by the eigenvectors.</p>
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<p>If A is symmetric, then V is orthogonal and thus A = V<em>D</em>V.t</p>
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<h2>Defined in:</h2>
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2019-07-10 01:20:17 +00:00
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<a href="https://github.com/watzon/apatite/blob/5fc375a6a99e49293117cf417d488784b2de26f2/src/apatite/linear_algebra/matrix/eigenvalue_decomposition.cr#L12" target="_blank">
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2019-07-10 01:18:01 +00:00
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apatite/linear_algebra/matrix/eigenvalue_decomposition.cr
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</a>
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<br/>
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<h2>Constructors</h2>
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<ul class="list-summary">
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<li class="entry-summary">
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<a href="#new%28matrix%29-class-method" class="signature"><strong>.new</strong>(matrix)</a>
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</li>
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</ul>
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<div class="methods-inherited">
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</div>
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<h2>Constructor Detail</h2>
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<div class="entry-detail" id="new(matrix)-class-method">
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<div class="signature">
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def self.<strong>new</strong>(matrix)
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<a class="method-permalink" href="#new%28matrix%29-class-method">#</a>
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</div>
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<br/>
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<div>
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2019-07-10 01:20:17 +00:00
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[<a href="https://github.com/watzon/apatite/blob/5fc375a6a99e49293117cf417d488784b2de26f2/src/apatite/linear_algebra/matrix/eigenvalue_decomposition.cr#L13" target="_blank">View source</a>]
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2019-07-10 01:18:01 +00:00
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</div>
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</div>
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