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<div class="main-content" data-page-type="member" id="content" pageids="kmath-tensors::space.kscience.kmath.tensors.core//luFactor/space.kscience.kmath.tensors.core.DoubleTensorAlgebra#space.kscience.kmath.nd.StructureND[kotlin.Double]#kotlin.Double/PointingToDeclaration//-1345790395">
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<div class="breadcrumbs"><a href="../index.html">kmath-tensors</a><span class="delimiter">/</span><a href="index.html">space.kscience.kmath.tensors.core</a><span class="delimiter">/</span><span class="current">luFactor</span></div>
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<h1 class="cover"><span>lu</span><wbr><span><span>Factor</span></span></h1>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><a href="-double-tensor-algebra/index.html">DoubleTensorAlgebra</a><span class="token punctuation">.</span><a href="lu-factor.html"><span class="token function">luFactor</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">structureND<span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator"><</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a><span class="token operator">></span><span class="token punctuation">, </span></span><span class="parameter ">epsilon<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a><span class="token operator"> = </span><span class="token constant">1.0E-9</span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-pair/index.html">Pair</a><span class="token operator"><</span><span class="token keyword"></span><a href="-double-tensor/index.html">DoubleTensor</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-int-tensor/index.html">IntTensor</a><span class="token operator">></span><span class="clearfix"><span class="floating-right">(<a href="https://github.com/SciProgCentre/kmath/tree/master/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/tensorOps.kt#L69">source</a>)</span></span></div><p class="paragraph">Computes the LU factorization of a matrix or batches of matrices <code class="lang-kotlin">input</code>. Returns a tuple containing the LU factorization and pivots of <code class="lang-kotlin">input</code>.</p><span class="kdoc-tag"><h4 class="">Return</h4><p class="paragraph">pair of <code class="lang-kotlin">factorization</code> and <code class="lang-kotlin">pivots</code>. The <code class="lang-kotlin">factorization</code> has the shape <code class="lang-kotlin">`(*, m, n)`</code>, where<code class="lang-kotlin">`(*, m, n)`</code> is the shape of the <code class="lang-kotlin">input</code> tensor. The <code class="lang-kotlin">pivots</code> has the shape <code class="lang-kotlin">`(∗, min(m, n))`</code>. <code class="lang-kotlin">pivots</code> stores all the intermediate transpositions of rows.</p></span><h4 class="">Parameters</h4><div class="table"><div class="table-row" data-filterable-current=":kmath-tensors:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue "><div class=""><span class="inline-flex"><div><u><span><span>epsilon</span></span></u></div></span></div><div><div class="title"><p class="paragraph">permissible error when comparing the determinant of a matrix with zero default is 1e-9</p></div></div></div></div></div></div></div>
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