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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>- · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/jacobi_2D/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_tutorial/">Julia Tutorial</a></li><li><a class="tocitem" href="../julia_intro/">Why is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li><a class="tocitem" href="../julia_async/">Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-2-6" type="checkbox"/><label class="tocitem" for="menuitem-2-6"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li><a class="tocitem" href="../sol_matrix_matrix/">Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>-</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>-</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/jacobi_2D.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>- · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/jacobi_2D/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../getting_started_with_julia/">Getting started</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_intro/">Is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li><a class="tocitem" href="../julia_async/">Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-3-5" type="checkbox"/><label class="tocitem" for="menuitem-3-5"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li><a class="tocitem" href="../sol_matrix_matrix/">Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>-</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>-</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/jacobi_2D.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
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iFrameResize({log:true}, myIframe);
});
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</script></article><nav class="docs-footer"><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="Thursday 10 August 2023 10:53">Thursday 10 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Julia Asynchronous · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/julia_async/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_tutorial/">Julia Tutorial</a></li><li><a class="tocitem" href="../julia_intro/">Why is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li class="is-active"><a class="tocitem" href>Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-2-6" type="checkbox"/><label class="tocitem" for="menuitem-2-6"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li><a class="tocitem" href="../sol_matrix_matrix/">Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Notebooks</a></li><li class="is-active"><a href>Julia Asynchronous</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Julia Asynchronous</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/julia_async.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Julia Asynchronous · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/julia_async/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../getting_started_with_julia/">Getting started</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_intro/">Is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li class="is-active"><a class="tocitem" href>Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-3-5" type="checkbox"/><label class="tocitem" for="menuitem-3-5"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li><a class="tocitem" href="../sol_matrix_matrix/">Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Notebooks</a></li><li class="is-active"><a href>Julia Asynchronous</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Julia Asynchronous</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/julia_async.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
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var myIframe = document.getElementById("notebook");
iFrameResize({log:true}, myIframe);
});
</script></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../julia_basics/">« Julia Basics</a><a class="docs-footer-nextpage" href="../julia_distributed/">Julia Distributed »</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="Thursday 10 August 2023 09:50">Thursday 10 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
</script></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../julia_basics/">« Julia Basics</a><a class="docs-footer-nextpage" href="../julia_distributed/">Julia Distributed »</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="Thursday 10 August 2023 10:53">Thursday 10 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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@ -18,4 +18,4 @@
var myIframe = document.getElementById("notebook");
iFrameResize({log:true}, myIframe);
});
</script></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../julia_async/">« Julia Asynchronous</a><a class="docs-footer-nextpage" href="../matrix_matrix/">Matrix Multiplication »</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="Thursday 10 August 2023 09:50">Thursday 10 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Jacobi/SOR · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/julia_jacobi/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_tutorial/">Julia Tutorial</a></li><li><a class="tocitem" href="../julia_intro/">Why is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li><a class="tocitem" href="../julia_async/">Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-2-6" type="checkbox"/><label class="tocitem" for="menuitem-2-6"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li><a class="tocitem" href="../sol_matrix_matrix/">Solutions</a></li></ul></li><li class="is-active"><a class="tocitem" href>Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Notebooks</a></li><li class="is-active"><a href>Jacobi/SOR</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Jacobi/SOR</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/julia_jacobi.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
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<div class="admonition-body">
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@ -18,4 +18,4 @@
var myIframe = document.getElementById("notebook");
iFrameResize({log:true}, myIframe);
});
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@ -18,4 +18,4 @@
var myIframe = document.getElementById("notebook");
iFrameResize({log:true}, myIframe);
});
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "8850d90e",
"metadata": {},
"outputs": [],
"source": [
"using Distributed"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5d4935ee",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4-element Vector{Int64}:\n",
" 2\n",
" 3\n",
" 4\n",
" 5"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"if procs() == workers()\n",
" addprocs(4)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4a2756ae",
"metadata": {},
"outputs": [],
"source": [
"@everywhere function visited(city,hops,path)\n",
" for i = 1:hops\n",
" if path[i] == city\n",
" return true\n",
" end\n",
" end\n",
" return false\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "39e9e667",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tsp_serial_impl (generic function with 1 method)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function tsp_serial_impl(connections,hops,path,current_distance,min_distance)\n",
" num_cities = length(connections)\n",
" if hops == num_cities\n",
" if current_distance < min_distance\n",
" return current_distance\n",
" end\n",
" else\n",
" current_city = path[hops]\n",
" next_hops = hops + 1\n",
" for (next_city,distance_increment) in connections[current_city]\n",
" if !visited(next_city,hops,path)\n",
" path[next_hops] = next_city\n",
" next_distance = current_distance + distance_increment\n",
" if next_distance < min_distance\n",
" return tsp_serial_impl(connections,next_hops,path,next_distance,min_distance)\n",
" end\n",
" end\n",
" end \n",
" end\n",
" min_distance\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "83b58881",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tsp_serial (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function tsp_serial(connections,city)\n",
" num_cities = length(connections)\n",
" path=zeros(Int,num_cities)\n",
" hops = 1\n",
" path[hops] = city\n",
" current_distance = 0\n",
" min_distance = typemax(Int)\n",
" min_distance = tsp_serial_impl(connections,hops,path,current_distance,min_distance)\n",
" (;path=path,distance=min_distance)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "78095098",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(path = [1, 4, 5, 2, 3, 6], distance = 222)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"connections = [\n",
" [(1,0),(4,39),(5,76), (6,78),(3,94),(2,97)],\n",
" [(2,0),(5,25),(4,58),(3,62),(1,97),(6,109)],\n",
" [(3,0),(6,58),(2,62),(4,68),(5,70),(1,94)],\n",
" [(4,0),(5,38),(1,39),(2,58),(3,68),(6,78)],\n",
" [(5,0),(2,25),(4,38),(3,70),(1,76),(6,104)],\n",
" [(6,0),(3,58),(1,78),(4,78),(5,104),(2,109)]\n",
"]\n",
"city = 1\n",
"tsp_serial(connections,city)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "03f0dd8e",
"metadata": {},
"outputs": [],
"source": [
"@everywhere function tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_chnl,ftr_result)\n",
" num_cities = length(connections)\n",
" if hops == num_cities\n",
" if current_distance < min_distance\n",
" if ftr_result !== nothing\n",
" @spawnat 1 begin\n",
" result = fetch(ftr_result)\n",
" result.path .= path\n",
" result.min_distance_ref[] = current_distance\n",
" end |> wait\n",
" end\n",
" return current_distance\n",
" end\n",
" elseif hops <= max_hops\n",
" current_city = path[hops]\n",
" next_hops = hops + 1\n",
" for (next_city,distance_increment) in connections[current_city]\n",
" if !visited(next_city,hops,path)\n",
" path[next_hops] = next_city\n",
" next_distance = current_distance + distance_increment\n",
" if next_distance < min_distance\n",
" return tsp_dist_impl(connections,next_hops,path,next_distance,min_distance,max_hops,jobs_chnl,ftr_result)\n",
" end\n",
" end\n",
" end \n",
" else\n",
" if jobs_channel !== nothing\n",
" put!(jobs_chnl,(;hops,path,current_distance))\n",
" end\n",
" end\n",
" min_distance\n",
"end\n",
"\n",
"function tsp_dist(connections,city)\n",
" max_hops = 2\n",
" num_cities = length(connections)\n",
" path=zeros(Int,num_cities)\n",
" hops = 1\n",
" path[hops] = city\n",
" current_distance = 0\n",
" min_distance = typemax(Int)\n",
" jobs_chnl = RemoteChannel(()->Channel{Any}(10))\n",
" ftr_result = @spawnat 1 (;path,min_distance_ref=Ref(min_distance))\n",
" task = @async begin\n",
" tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_chnl,nothing)\n",
" for w in workers()\n",
" put!(job_chnl,nothing)\n",
" end\n",
" end\n",
" @sync for w in workers()\n",
" @spawnat w begin\n",
" max_hops = typemax(Int)\n",
" jobs_channel = nothing\n",
" while true\n",
" job = take!(jobs_chnl)\n",
" if job == nothing\n",
" break\n",
" end\n",
" hobs = job.hobs\n",
" path = job.path\n",
" current_distance = job.current_distance\n",
" tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_chnl,ftr_result)\n",
" end\n",
" end\n",
" end \n",
" (;path=path,distance=min_distance)\n",
"end\n",
"city = 1\n",
"tsp_dist(connections,city)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "370a1205",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.9.0",
"language": "julia",
"name": "julia-1.9"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.9.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}

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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Solutions · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/sol_matrix_matrix/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_tutorial/">Julia Tutorial</a></li><li><a class="tocitem" href="../julia_intro/">Why is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li><a class="tocitem" href="../julia_async/">Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-2-6" type="checkbox" checked/><label class="tocitem" for="menuitem-2-6"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li class="is-active"><a class="tocitem" href>Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Notebooks</a></li><li><a class="is-disabled">Matrix Multiplication</a></li><li class="is-active"><a href>Solutions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Solutions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/sol_matrix_matrix.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Solutions · XM_40017</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://fverdugo.github.io/XM_40017/sol_matrix_matrix/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/><script src="../assets/iframeResizer.min.js"></script><link href="../assets/custom.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="XM_40017 logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">XM_40017</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../getting_started_with_julia/">Getting started</a></li><li><span class="tocitem">Notebooks</span><ul><li><a class="tocitem" href="../julia_intro/">Is Julia fast?</a></li><li><a class="tocitem" href="../julia_basics/">Julia Basics</a></li><li><a class="tocitem" href="../julia_async/">Julia Asynchronous</a></li><li><a class="tocitem" href="../julia_distributed/">Julia Distributed</a></li><li><input class="collapse-toggle" id="menuitem-3-5" type="checkbox" checked/><label class="tocitem" for="menuitem-3-5"><span class="docs-label">Matrix Multiplication</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../matrix_matrix/">Matrix Multiplication</a></li><li class="is-active"><a class="tocitem" href>Solutions</a></li></ul></li><li><a class="tocitem" href="../julia_jacobi/">Jacobi/SOR</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Notebooks</a></li><li><a class="is-disabled">Matrix Multiplication</a></li><li class="is-active"><a href>Solutions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Solutions</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/fverdugo/XM_40017/blob/main/docs/src/notebooks/sol_matrix_matrix.ipynb" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><div class="admonition is-success">
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});
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