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<title>LUDecompositionFeature</title>
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<div class="main-content" id="content" pageids="kmath-core::space.kscience.kmath.linear/LUDecompositionFeature///PointingToDeclaration//244675578">
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<div class="breadcrumbs"><a href="../../index.html">kmath-core</a>/<a href="../index.html">space.kscience.kmath.linear</a>/<a href="index.html">LUDecompositionFeature</a></div>
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<h1 class="cover"><span>LUDecomposition</span><wbr><span><span>Feature</span></span></h1>
<div class="platform-hinted with-platform-tabs" data-platform-hinted="data-platform-hinted">
<div class="platform-bookmarks-row" data-toggle-list="data-toggle-list"><button class="platform-bookmark common-like" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain" data-active="" data-toggle=":kmath-core:dokkaHtmlPartial/commonMain">common</button></div>
<div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">interface </span><a href="index.html">LUDecompositionFeature</a><span class="token operator">&lt;</span><span class="token keyword">out </span><a href="index.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-any/index.html">Any</a><span class="token operator">&gt;</span> : <a href="../-matrix-feature/index.html">MatrixFeature</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><p class="paragraph">Matrices with this feature support LU factorization: <i>a = </i><a href="l.html"><i>l</i></a><i> · </i><a href="u.html"><i>u</i></a> where <i>a</i> is the owning matrix.</p></div> </div>
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<div class="tabs-section" tabs-section="tabs-section"><button class="section-tab" data-active="" data-togglable="Properties">Properties</button><button class="section-tab" data-togglable="Parameters">Parameters</button><button class="section-tab" data-togglable="Sources">Sources</button></div>
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<div class="tabs-section-body">
<h2 class="">Parameters</h2>
<div data-togglable="Parameters">
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<div class="platform-hinted WithExtraAttributes with-platform-tabs" data-platform-hinted="data-platform-hinted" data-togglable="Parameters">
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<div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div data-togglable="Parameters"><div class="table" data-togglable="Parameters"><div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue WithExtraAttributes"><div class=""><span class="inline-flex"><div><span><span>T</span></span></div></span></div><div><div class="title"><div data-togglable="Parameters"><p class="paragraph">the type of matrices' items.</p></div></div></div></div></div></div></div></div> </div>
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</div>
<h2 class="">Properties</h2>
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<div class="table" data-togglable="Properties"><a data-name="833282930%2FProperties%2F244675578" anchor-label="key" id="833282930%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div><a href="../../space.kscience.kmath.misc/-feature/key.html">key</a></div>
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<div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><a data-name="833282930%2FProperties%2F244675578" anchor-label="key" id="833282930%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword">open </span><span class="token keyword"></span><span class="token keyword">val </span><a href="../../space.kscience.kmath.misc/-feature/key.html">key</a><span class="token operator">: </span><a href="../../space.kscience.kmath.misc/index.html#2124566189%2FClasslikes%2F244675578">FeatureKey</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="../../space.kscience.kmath.nd/-structure-feature/index.html">StructureFeature</a><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><div class="brief "><a data-name="833282930%2FProperties%2F244675578" anchor-label="key" id="833282930%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><p class="paragraph">A key used for extraction</p></div></div> </div>
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<a data-name="829482600%2FProperties%2F244675578" anchor-label="l" id="829482600%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div><a href="l.html">l</a></div>
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<div class="platform-hinted with-platform-tabs" data-platform-hinted="data-platform-hinted" data-togglable="Properties">
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<div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><a data-name="829482600%2FProperties%2F244675578" anchor-label="l" id="829482600%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">val </span><a href="l.html">l</a><span class="token operator">: </span><a href="../index.html#-828842962%2FClasslikes%2F244675578">Matrix</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="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 class="brief "><a data-name="829482600%2FProperties%2F244675578" anchor-label="l" id="829482600%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><p class="paragraph">The lower triangular matrix in this decomposition. It may have <a href="../-l-feature/index.html">LFeature</a>.</p></div></div> </div>
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<div class=""><span class="inline-flex">
<div><a href="u.html">u</a></div>
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<div class="platform-hinted with-platform-tabs" data-platform-hinted="data-platform-hinted" data-togglable="Properties">
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<div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><a data-name="1108660863%2FProperties%2F244675578" anchor-label="u" id="1108660863%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">val </span><a href="u.html">u</a><span class="token operator">: </span><a href="../index.html#-828842962%2FClasslikes%2F244675578">Matrix</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="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 class="brief "><a data-name="1108660863%2FProperties%2F244675578" anchor-label="u" id="1108660863%2FProperties%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><p class="paragraph">The upper triangular matrix in this decomposition. It may have <a href="../-u-feature/index.html">UFeature</a>.</p></div></div> </div>
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<h2 class="">Sources</h2>
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<div><a href="https://github.com/mipt-npm/kmath/tree/master/kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/MatrixFeatures.kt#L78">common source</a></div>
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