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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>- · 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 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"/><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></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="index.html"><img src="assets/logo.png" alt="Optinum.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit">Optinum.jl</span></div><form class="docs-search" action="search.html"><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="index.html">Accueil</a></li><li><a class="tocitem" href="Sujet.html">Sujet</a></li><li><span class="tocitem">Algorithmes</span><ul><li><a class="tocitem" href="Algorithme_de_newton.html">L&#39;algorithme de Newton local</a></li><li><a class="tocitem" href="Regions_de_confiance.html">La méthode des régions de confiance</a></li><li><a class="tocitem" href="Lagrangien_augmente.html">La méthode du Lagrangien augmenté</a></li></ul></li><li><a class="tocitem" href="fct_index.html">Index des fonctions</a></li><li><a class="tocitem" href="Annexes.html">Annexes</a></li><li><a class="tocitem" href="mise_en_place.html">Installation de Julia et tests unitaires</a></li><li><a class="tocitem" href="FAQ.html">Foire aux Questions</a></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="Questions_Pas_De_Cauchy.html">-</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="Questions_Pas_De_Cauchy.html">-</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com//blob/master/docs/src/Questions_Pas_De_Cauchy.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"><h2 id="Travail-à-réaliser-pour-l&#39;algorithme-des-régions-de-confiance-avec-pas-de-cauchy-1"><a class="docs-heading-anchor" href="#Travail-à-réaliser-pour-l&#39;algorithme-des-régions-de-confiance-avec-pas-de-cauchy-1">Travail à réaliser pour l&#39;algorithme des régions de confiance avec pas de cauchy</a><a class="docs-heading-anchor-permalink" href="#Travail-à-réaliser-pour-l&#39;algorithme-des-régions-de-confiance-avec-pas-de-cauchy-1" title="Permalink"></a></h2><h6 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></h6><ol><li>Implémenter une fonction calculant <strong>à part</strong> le pas de Cauchy dun sous-problème de</li></ol><p>régions de confiance. La tester sur les quadratiques proposées en Annexe B.</p><ol><li>Inclure en suivant ce calcul dans un algorithme de régions de confiance ; le tester sur les problèmes de lAnnexe A.</li></ol><h6 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></h6><ol><li><p>Quelle relation lie la fonction test f 1 et son modèle de Taylor à lordre 2 ? Comparer alors les performances de Newton et RC-Pas de Cauchy sur cette fonction.</p></li><li><p>Le rayon initial de la région de confiance est un paramètre important dans lanalyse</p></li></ol><p>de la performance de lalgorithme. Sur quel(s) autre(s) paramètre(s) peut-on jouer pour essayer daméliorer cette performance ? Étudier linfluence dau moins deux de ces paramètres.</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>