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‎dev/.documenter-siteinfo.json‎

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{"documenter":{"julia_version":"1.11.6","generation_timestamp":"2025-08-01T12:08:42","documenter_version":"1.14.1"}}
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{"documenter":{"julia_version":"1.11.6","generation_timestamp":"2025-08-28T20:27:21","documenter_version":"1.14.1"}}

‎dev/api/index.html‎

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‎dev/examples/index.html‎

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B⁵₇A¹₅B₉⁷C⁹₁</code></pre><h2 id="Derivatives-in-Standard-Notation"><a class="docs-heading-anchor" href="#Derivatives-in-Standard-Notation">Derivatives in Standard Notation</a><a id="Derivatives-in-Standard-Notation-1"></a><a class="docs-heading-anchor-permalink" href="#Derivatives-in-Standard-Notation" title="Permalink"></a></h2><h3 id="Gradient"><a class="docs-heading-anchor" href="#Gradient">Gradient</a><a id="Gradient-1"></a><a class="docs-heading-anchor-permalink" href="#Gradient" title="Permalink"></a></h3><pre><code class="language-julia hljs">to_std(gradient(tr(x * x&#39;), x))
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A¹₅B⁵₇B₉⁷C⁹₁</code></pre><h2 id="Derivatives-in-Standard-Notation"><a class="docs-heading-anchor" href="#Derivatives-in-Standard-Notation">Derivatives in Standard Notation</a><a id="Derivatives-in-Standard-Notation-1"></a><a class="docs-heading-anchor-permalink" href="#Derivatives-in-Standard-Notation" title="Permalink"></a></h2><h3 id="Gradient"><a class="docs-heading-anchor" href="#Gradient">Gradient</a><a id="Gradient-1"></a><a class="docs-heading-anchor-permalink" href="#Gradient" title="Permalink"></a></h3><pre><code class="language-julia hljs">to_std(gradient(tr(x * x&#39;), x))
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&quot;I&quot;</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../usage/">« Differentiating Matrix Expressions</a><a class="docs-footer-nextpage" href="../api/">API Reference »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 12:08">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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&quot;I&quot;</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../usage/">« Differentiating Matrix Expressions</a><a class="docs-footer-nextpage" href="../api/">API Reference »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Thursday 28 August 2025 20:27">Thursday 28 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

‎dev/index.html‎

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ERROR: DomainError</code></pre></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="usage/">Differentiating Matrix Expressions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 12:08">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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ERROR: DomainError</code></pre></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="usage/">Differentiating Matrix Expressions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Thursday 28 August 2025 20:27">Thursday 28 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

‎dev/search_index.js‎

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‎dev/usage/index.html‎

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return 2 * ((transpose(B) * transpose(A)) * x) + 2 * (A * (B * x))
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end
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end
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</code></pre><div class="citation canonical"><dl><dt>[1]</dt><dd><div id="laue2018computinghigherorder">S. Laue, M. Mitterreiter and J. Giesen. <em>Computing Higher Order Derivatives of Matrix and Tensor Expressions</em>. In: <em>Advances in Neural Information Processing Systems</em>, Vol. 31 (Curran Associates, Inc., 2018).</div></dd></dl></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Quick Start</a><a class="docs-footer-nextpage" href="../examples/">Examples »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 12:08">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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</code></pre><div class="citation canonical"><dl><dt>[1]</dt><dd><div id="laue2018computinghigherorder">S. Laue, M. Mitterreiter and J. Giesen. <em>Computing Higher Order Derivatives of Matrix and Tensor Expressions</em>. In: <em>Advances in Neural Information Processing Systems</em>, Vol. 31 (Curran Associates, Inc., 2018).</div></dd></dl></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Quick Start</a><a class="docs-footer-nextpage" href="../examples/">Examples »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Thursday 28 August 2025 20:27">Thursday 28 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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