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dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.12.2","generation_timestamp":"2025-11-27T13:20:38","documenter_version":"1.16.1"}}
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{"documenter":{"julia_version":"1.12.2","generation_timestamp":"2025-11-27T13:29:00","documenter_version":"1.16.1"}}

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dev/examples/halley/index.html

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Iteration 6: x = [1.4142135623730951, 1.4142135623730951], f(x) = [4.440892098500626e-16, 4.440892098500626e-16], error = 6.280369834735101e-16</code></pre><p>While the Halley&#39;s method takes 4 iterations to converge:</p><pre><code class="language-julia hljs">halley(f, [1., 1.], [2., 2.])</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Iteration 1: x = [1.0, 1.0], f(x) = [-1.0, -1.0], error = 1.4142135623730951
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Iteration 2: x = [1.4, 1.4], f(x) = [-0.04000000000000026, -0.04000000000000026], error = 0.05656854249492417
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Iteration 3: x = [1.4142131979695431, 1.4142131979695431], f(x) = [-1.0306887576749801e-6, -1.0306887576749801e-6], error = 1.4576140196894333e-6
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Iteration 4: x = [1.414213562373095, 1.414213562373095], f(x) = [-4.440892098500626e-16, -4.440892098500626e-16], error = 6.280369834735101e-16</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../../theory/">Theory »</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="Thursday 27 November 2025 13:20">Thursday 27 November 2025</span>. Using Julia version 1.12.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Iteration 4: x = [1.414213562373095, 1.414213562373095], f(x) = [-4.440892098500626e-16, -4.440892098500626e-16], error = 6.280369834735101e-16</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../../theory/">Theory »</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="Thursday 27 November 2025 13:29">Thursday 27 November 2025</span>. Using Julia version 1.12.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

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publisher = {GitHub},
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journal = {GitHub repository},
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howpublished = {\url{https://github.com/JuliaDiff/TaylorDiff.jl}}
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}</code></pre></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="examples/halley/">Efficient Halley&#39;s method for nonlinear solving »</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="Thursday 27 November 2025 13:20">Thursday 27 November 2025</span>. Using Julia version 1.12.2.</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-nextpage" href="examples/halley/">Efficient Halley&#39;s method for nonlinear solving »</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="Thursday 27 November 2025 13:29">Thursday 27 November 2025</span>. Using Julia version 1.12.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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