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dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.10.10","generation_timestamp":"2026-01-06T22:52:31","documenter_version":"1.16.1"}}
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{"documenter":{"julia_version":"1.10.10","generation_timestamp":"2026-01-06T23:46:38","documenter_version":"1.16.1"}}

dev/api/index.html

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dev/examples/index.html

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Bdist = mapslices(g, Adist; dims=2)
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println(io0(), "Result: $(size(Bdist))") # (100, 2)
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</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../guide/">« User Guide</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 1.16.1 on <span class="colophon-date" title="Tuesday 6 January 2026 22:52">Tuesday 6 January 2026</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../guide/">« User Guide</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 1.16.1 on <span class="colophon-date" title="Tuesday 6 January 2026 23:46">Tuesday 6 January 2026</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/guide/index.html

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y_gpu = A * x_gpu # Returns VectorMPI{Float32, MtlVector{Float32}}</code></pre><h3 id="Supported-GPU-Operations"><a class="docs-heading-anchor" href="#Supported-GPU-Operations">Supported GPU Operations</a><a id="Supported-GPU-Operations-1"></a><a class="docs-heading-anchor-permalink" href="#Supported-GPU-Operations" title="Permalink"></a></h3><table><tr><th style="text-align: right">Operation</th><th style="text-align: right">GPU Support</th></tr><tr><td style="text-align: right"><code>v + w</code>, <code>v - w</code></td><td style="text-align: right">Native GPU</td></tr><tr><td style="text-align: right"><code>α * v</code> (scalar)</td><td style="text-align: right">Native GPU</td></tr><tr><td style="text-align: right"><code>A * x</code> (sparse)</td><td style="text-align: right">CPU staging</td></tr><tr><td style="text-align: right"><code>A * x</code> (dense)</td><td style="text-align: right">CPU staging</td></tr><tr><td style="text-align: right"><code>transpose(A) * x</code></td><td style="text-align: right">CPU staging</td></tr><tr><td style="text-align: right">Broadcasting (<code>abs.(v)</code>)</td><td style="text-align: right">Native GPU</td></tr></table><h3 id="Element-Types"><a class="docs-heading-anchor" href="#Element-Types">Element Types</a><a id="Element-Types-1"></a><a class="docs-heading-anchor-permalink" href="#Element-Types" title="Permalink"></a></h3><p>Metal requires <code>Float32</code> - it does not support <code>Float64</code>.</p><h2 id="Cache-Management"><a class="docs-heading-anchor" href="#Cache-Management">Cache Management</a><a id="Cache-Management-1"></a><a class="docs-heading-anchor-permalink" href="#Cache-Management" title="Permalink"></a></h2><p>LinearAlgebraMPI caches communication plans for efficiency. Clear caches when needed:</p><pre><code class="language-julia hljs">clear_plan_cache!() # Clears all plan caches including MUMPS analysis cache</code></pre><h2 id="MPI-Collective-Operations"><a class="docs-heading-anchor" href="#MPI-Collective-Operations">MPI Collective Operations</a><a id="MPI-Collective-Operations-1"></a><a class="docs-heading-anchor-permalink" href="#MPI-Collective-Operations" title="Permalink"></a></h2><div class="admonition is-warning" id="All-Operations-Are-Collective-1bb7003cbb73574d"><header class="admonition-header">All Operations Are Collective<a class="admonition-anchor" href="#All-Operations-Are-Collective-1bb7003cbb73574d" title="Permalink"></a></header><div class="admonition-body"><p>Most LinearAlgebraMPI functions are MPI collective operations. All ranks must:</p><ul><li>Call the function together</li><li>Use the same parameters</li><li>Avoid conditional execution based on rank</li></ul></div></div><p><strong>Correct:</strong></p><pre><code class="language-julia hljs"># All ranks execute this together
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x = A \ b</code></pre><p><strong>Incorrect (causes deadlock):</strong></p><pre><code class="language-julia hljs">if rank == 0
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x = A \ b # Only rank 0 calls - DEADLOCK!
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end</code></pre><h2 id="Next-Steps"><a class="docs-heading-anchor" href="#Next-Steps">Next Steps</a><a id="Next-Steps-1"></a><a class="docs-heading-anchor-permalink" href="#Next-Steps" title="Permalink"></a></h2><ul><li>See <a href="../examples/#Examples">Examples</a> for detailed code examples</li><li>See the <a href="../api/#API-Reference">API Reference</a> for detailed function documentation</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../installation/">« Installation</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 1.16.1 on <span class="colophon-date" title="Tuesday 6 January 2026 22:52">Tuesday 6 January 2026</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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end</code></pre><h2 id="Next-Steps"><a class="docs-heading-anchor" href="#Next-Steps">Next Steps</a><a id="Next-Steps-1"></a><a class="docs-heading-anchor-permalink" href="#Next-Steps" title="Permalink"></a></h2><ul><li>See <a href="../examples/#Examples">Examples</a> for detailed code examples</li><li>See the <a href="../api/#API-Reference">API Reference</a> for detailed function documentation</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../installation/">« Installation</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 1.16.1 on <span class="colophon-date" title="Tuesday 6 January 2026 23:46">Tuesday 6 January 2026</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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