{"id":132591,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/el-metodo-de-newton-en-espacios-de-banach\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"el-metodo-de-newton-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/el-metodo-de-newton-en-espacios-de-banach\/","title":{"rendered":"El metodo de newton en espacios de banach."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Manuel Guti\u00e9rrez Jim\u00e9nez <\/strong><\/h2>\n<p>El metodo de newton es quiza el proceso iterativo mas conocido y estudiado para resolver una ecuacion no lineal f(x)=0, al trabajar en espacios de banach logramos una generalidad que nos permite aplicar los resultados obtenidos a problemas tan diversos como resolver ecuaciones en el campo real o complejo, sistemas de ecuaciones, ecuaciones integrales o ecuaciones diferenciales (ordinarias y en derivadas parciales).En este trabajo se realiza un estudio fundamentalmente teorico del metodo de newton, partiendo de unas condiciones distintas de las clasicas consideradas por otros autores (kantorovich, rheinboldt,&#8230;). Entre los resultados obtenidos destacan los relativos a la ampliacion de los dominios de puntos de salida para los que la sucesion de newton es convengente, encontrando dominios mas amplios que los habituales. Tambien se deduce la expresion de un nuevo proceso iterativo como aceleracion del metodo de newton. Las caracteristicas y principales propiedades de este nuevo proceso se detallan en la memoria.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>El metodo de newton en espacios de banach.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 El metodo de newton en espacios de banach. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Manuel Guti\u00e9rrez Jim\u00e9nez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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> Hern\u00e1ndez Ver\u00f3n Miguel \u00e1ngel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jaime Vinuesa Tejedor <\/li>\n<li>Pablo Gonzalez Vera (vocal)<\/li>\n<li>Francisco Marcellan Espa\u00f1ol (vocal)<\/li>\n<li>Eduardo Casas Renteria (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Manuel Guti\u00e9rrez Jim\u00e9nez El metodo de newton es quiza el proceso iterativo mas conocido y estudiado [&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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