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autoback_hesvec(f,x,v)</code></pre><h4 id="J*v-and-H*v-Operators"><a class="docs-heading-anchor" href="#J*v-and-H*v-Operators"><code>J*v</code> and <code>H*v</code> Operators</a><a id="J*v-and-H*v-Operators-1"></a><a class="docs-heading-anchor-permalink" href="#J*v-and-H*v-Operators" title="Permalink"></a></h4><p>The following produce matrix-free operators which are used for calculating Jacobian-vector and Hessian-vector products where the differentiation takes place at the vector <code>u</code>:</p><pre><code class="language-julia hljs">JacVec(f,x::AbstractArray;autodiff=true)
HesVec(f,x::AbstractArray;autodiff=true)
HesVecGrad(g,x::AbstractArray;autodiff=false)</code></pre><p>These all have the same interface, where <code>J*v</code> utilizes the out-of-place Jacobian-vector or Hessian-vector function, whereas <code>mul!(res,J,v)</code> utilizes the appropriate in-place versions. To update the location of differentiation in the operator, simply mutate the vector <code>u</code>: <code>J.u .= ...</code>.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="sparsedifftools/">API »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 7 October 2024 12:27">Monday 7 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
HesVecGrad(g,x::AbstractArray;autodiff=false)</code></pre><p>These all have the same interface, where <code>J*v</code> utilizes the out-of-place Jacobian-vector or Hessian-vector function, whereas <code>mul!(res,J,v)</code> utilizes the appropriate in-place versions. To update the location of differentiation in the operator, simply mutate the vector <code>u</code>: <code>J.u .= ...</code>.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="sparsedifftools/">API »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 7 October 2024 12:40">Monday 7 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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