{"id":27236,"date":"2003-01-12T00:00:00","date_gmt":"2003-01-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-iterativos-de-alto-orden-y-aplicaciones\/"},"modified":"2003-01-12T00:00:00","modified_gmt":"2003-01-12T00:00:00","slug":"metodos-iterativos-de-alto-orden-y-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/politecnica-de-cartagena\/metodos-iterativos-de-alto-orden-y-aplicaciones\/","title":{"rendered":"M\u00e9todos iterativos de alto orden y aplicaciones"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sonia Busquier Saez <\/strong><\/h2>\n<p>Al estudiar un m\u00e9todo iterarivo, uno de los aspectos m\u00e1s importantes a considerar es la convergencia (orden del mismo).Para dicho an\u00e1lisis , en ocasiones, es suficiente conocer un intervalo[a,b]que contenga a la ra\u00edz, m\u00e1s ciertas hip\u00f3tesis de regularidad, este tipo de convergencia se conoce como la convergencia global.Otros resultados (\u00abtipo kantarovich\u00bb), establecen condiciones suficientes en le operador y en la primera aproximaci\u00f3n a la soluci\u00f3n (pivote) para asegurar que la sucesi\u00f3n general por el esquema converja a una soluci\u00f3n de la ecuaci\u00f3n, dando lugar a los llamados teoremas semilicales de convergencia.Por \u00faltimo, en los llamados teoremas locales de convergencia, se imponen las hip\u00f3tesis sobre la ra\u00edz buscada.A dem\u00e1s todo este tipo de toremas proporcionan estimaciones del error.Por otra parte, la implementaci\u00f3n y eficiencia de los distintos esquemas son aspectos imprescindibles a estudiar.A este respecto, se estudian estrategias que optimen dichas propiedades.  a lo largo de este trabajo se proponen diversos m\u00e9todos (modificaciones de steffensen,secante,halley,etc),estudiando su convergencia(donde se generalizan teoremas para los m\u00e9todos cl\u00e1sicos),su implementaci\u00f3n y comparando su eficiencia con los m\u00e9todos ya existentes (donde se ven sus mejoras).A su vez, se proponen diversas te\u00f3ricas para los m\u00e9todos cl\u00e1sicos (interpretaciones geom\u00e9tricas y teoremas de convergencia).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos iterativos de alto orden y aplicaciones<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos iterativos de alto orden y aplicaciones <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sonia Busquier Saez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de cartagena<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/12\/2003<\/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>Sergio Amat Plata<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Vigueras campuzano <\/li>\n<li>garrosa Amelia Garc\u00eda (vocal)<\/li>\n<li> Jos\u00e9 Manuel guti\u00e9rrez jim\u00e9nez (vocal)<\/li>\n<li>albert Sanchis marin (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sonia Busquier Saez Al estudiar un m\u00e9todo iterarivo, uno de los aspectos m\u00e1s importantes a considerar es [&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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