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<div class="main-content" id="content" pageids="kmath-tensors::space.kscience.kmath.tensors.api/LinearOpsTensorAlgebra/lu/space.kscience.kmath.nd.StructureND[TypeParam(bounds=[kotlin.Any?])]#/PointingToDeclaration//-1345790395">
<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="lu.html">lu</a></div>
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<h1 class="cover"><span><span>lu</span></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"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="lu.html"><span class="token function">lu</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-triple/index.html">Triple</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token operator">&gt;</span><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><p class="paragraph">LUP decomposition</p><p class="paragraph">Computes the LUP decomposition of a matrix or a batch of matrices. Given a tensor <code class="lang-kotlin">input</code>, return tensors (P, L, U) satisfying <code class="lang-kotlin">P dot input = L dot U</code>, with <code class="lang-kotlin">P</code> being a permutation matrix or batch of matrices, <code class="lang-kotlin">L</code> being a lower triangular matrix or batch of matrices, <code class="lang-kotlin">U</code> being an upper triangular matrix or batch of matrices.</p><h4 class="">Receiver</h4><p class="paragraph">the <code class="lang-kotlin">input</code>.</p><h4 class="">Return</h4><p class="paragraph">triple of P, L and U tensors</p></div></div>
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