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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">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="lu.html"><span class="token function">lu</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">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></span></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="../../../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><span class="token keyword"></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><span class="token keyword"></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 operator">&gt;</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/api/LinearOpsTensorAlgebra.kt#L78">source</a>)</span></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><span class="kdoc-tag"><h4 class="">Receiver</h4><p class="paragraph">the <code class="lang-kotlin">input</code>.</p></span><span class="kdoc-tag"><h4 class="">Return</h4><p class="paragraph">triple of P, L and U tensors</p></span></div></div>
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