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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Travail à réaliser : · Optinum.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.11.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/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 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class="is-active"><a href="Questions_Lagrangien_Augmente.html">Travail à réaliser :</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="Questions_Lagrangien_Augmente.html">Travail à réaliser :</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com//blob/master/docs/src/Questions_Lagrangien_Augmente.md" 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"><h1 id="Travail-à-réaliser-:-1"><a class="docs-heading-anchor" href="#Travail-à-réaliser-:-1">Travail à réaliser :</a><a class="docs-heading-anchor-permalink" href="#Travail-à-réaliser-:-1" title="Permalink"></a></h1><h3 id="Implémentation-1"><a class="docs-heading-anchor" href="#Implémentation-1">Implémentation</a><a class="docs-heading-anchor-permalink" href="#Implémentation-1" title="Permalink"></a></h3><p>1.Choisir des critères darrêt pour la convergence de l&#39;algorithme.</p><p>2.Implémenter l&#39;algorithme du lagrangien augmenté, en utilisant les différentes méthodes qui ont été vues en première partie pour la résolution de la suite de problémes sans contraintes.</p><p>3.Tester les différentes variantes sur les problèmes en Annexe D.</p><h3 id="Interprétation-1"><a class="docs-heading-anchor" href="#Interprétation-1">Interprétation</a><a class="docs-heading-anchor-permalink" href="#Interprétation-1" title="Permalink"></a></h3><p>1.Commenter les résultats obtenus, en étudiant notamment les valeurs de <span>$λ_{k}$</span> et <span>$μ_{k}$</span>.</p><p>2.Étudier l&#39;influence du paramètre <span>$τ$</span> dans la performance de l&#39;algorithme.</p><p>3.<strong>Supplémentaire</strong> : Que proposez-vous comme méthode pour la résolution des problèmes avec des contraintes à la fois d&#39;égalité et d&#39;inégalité ? Implémenter (si le temps le permet) ce nouvel algorithme</p></article></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> on <span class="colophon-date" title="Monday 8 November 2021 11:31">Monday 8 November 2021</span>. Using Julia version 1.4.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>