{"id":77471,"date":"2018-03-09T23:23:01","date_gmt":"2018-03-09T23:23:01","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/optimizacion-no-convexa-y-direcciones-de-curvatura-negativa-una-aproximacion-eficiente\/"},"modified":"2018-03-09T23:23:01","modified_gmt":"2018-03-09T23:23:01","slug":"optimizacion-no-convexa-y-direcciones-de-curvatura-negativa-una-aproximacion-eficiente","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/optimizacion-no-convexa-y-direcciones-de-curvatura-negativa-una-aproximacion-eficiente\/","title":{"rendered":"Optimizaci\u00f3n no convexa y direcciones de curvatura negativa: una aproximaci\u00f3n eficiente."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alberto Olivares Gonz\u00e1lez <\/strong><\/h2>\n<p>En este trabajo se desarrollan  algoritmos que utilizan informaci\u00f3n expl\u00edcita de segundas derivadas par el calculo de soluciones locales de problemas no convexos. Estos procedimientos se basan en el m\u00e9todo de newton y en una metodolog\u00eda de b\u00fasqueda lineal. Los algoritmos emplean direcciones de curvatura negativa para garantizar la convergencia a puntos kkt de segundo orden.  los procedimientos para el c\u00e1lculo de direcciones de curvatura negativa combinan un m\u00e9todo directo y uno iterativo de manera eficiente. Para la resoluci\u00f3n de los problemas sin restricciones de dise\u00f1a una b\u00fasqueda curvil\u00ednea adaptada y en el caso de problemas con cotas simples se utiliza un esquema de punto interior.  se realiza un an\u00e1lisis te\u00f3rico de la convergencia de los algoritmos propuestos y se obtienen resultados experimentales tanto en problemas simulados, como en problemas de la colecci\u00f3n cuter (constrained and unconstrained test environment, revisited).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Optimizaci\u00f3n no convexa y direcciones de curvatura negativa: una aproximaci\u00f3n eficiente.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Optimizaci\u00f3n no convexa y direcciones de curvatura negativa: una aproximaci\u00f3n eficiente. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alberto Olivares Gonz\u00e1lez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rey juan carlos<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/11\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Javier Mart\u00ednez Moguerza<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: david R\u00edos insua <\/li>\n<li>Andr\u00e9s Ramos gal\u00e1n (vocal)<\/li>\n<li> Ortu\u00f1o sanchez m. teresa (vocal)<\/li>\n<li>Francisco Javier Prieto fern\u00e1ndez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alberto Olivares Gonz\u00e1lez En este trabajo se desarrollan algoritmos que utilizan informaci\u00f3n expl\u00edcita de segundas derivadas par [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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