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<div class="main-content" id="content" pageids="kmath-tensors::space.kscience.kmath.tensors.api/LinearOpsTensorAlgebra/cholesky/space.kscience.kmath.nd.MutableStructureND[TypeParam(bounds=[kotlin.Any?])]#/PointingToDeclaration//-1345790395">
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<div class="breadcrumbs"><a href="../../index.html">kmath-tensors</a>/<a href="../index.html">space.kscience.kmath.tensors.api</a>/<a href="index.html">LinearOpsTensorAlgebra</a>/<a href="cholesky.html">cholesky</a></div>
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<h1 class="cover"><span>cholesky</span></h1>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace">abstract fun <a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><<a href="index.html">T</a>>.<a href="cholesky.html">cholesky</a>(): <a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><<a href="index.html">T</a>><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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<p class="paragraph">Cholesky decomposition.</p><p class="paragraph">Computes the Cholesky decomposition of a Hermitian (or symmetric for real-valued matrices) positive-definite matrix or the Cholesky decompositions for a batch of such matrices. Each decomposition has the form: Given a tensor <code>input</code>, return the tensor <code>L</code> satisfying <code>input = L dot LH</code>, where <code>L</code> is a lower-triangular matrix and <code>LH</code> is the conjugate transpose of <code>L</code>, which is just a transpose for the case of real-valued input matrices. For more information: https://pytorch.org/docs/stable/linalg.html#torch.linalg.cholesky</p><h4 class="">Return</h4><p class="paragraph">the batch of <code>L</code> matrices.</p></div>
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<h2 class="">Sources</h2>
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<div class="table" data-togglable="Sources"><a data-name="-2099797478%2FSource%2F-1345790395" anchor-label="https://github.com/mipt-npm/kmath/tree/master/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt#L33" id="-2099797478%2FSource%2F-1345790395" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="https://github.com/mipt-npm/kmath/tree/master/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt#L33">common source</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-2099797478%2FSource%2F-1345790395"></span>
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