{"id":132589,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/construccion-de-procesos-iterativos-mediante-aceleraciones-del-metodo-de-newton\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"construccion-de-procesos-iterativos-mediante-aceleraciones-del-metodo-de-newton","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/construccion-de-procesos-iterativos-mediante-aceleraciones-del-metodo-de-newton\/","title":{"rendered":"Construccion de procesos iterativos mediante aceleraciones del metodo de newton."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Ezquerro Fernandez Jos\u00e9 Antonio <\/strong><\/h2>\n<p>Teniendo en cuenta la interpretacion geometrica del metodo de newton en el caso escalar, se observa que a menor convexidad logaritmica de la curva y=f(x), la sucesion de newton se aproxima mas rapidamente a la raiz de la ecuacion f(x)=0. A partir de la influencia que tiene la convexidad logaritmica en la velocidad de convergencia de la sucesion de newton, obtenemos tres procedimientos de aceleracion del metodo de newton.  mediante estos tres procedimientos obtenemos aceleraciones punto a punto, que nos permiten definir procesos iterativos independientes. A continuacion, dos objetivos centrales marcan nuestro interes. En primer lugar, el analisis de la convergencia de estos nuevos procesos iterativos en el caso real, en el plano complejo y en espacios de banach; y en segundo lugar, la construccion de procesos iterativos con orden de convergencia natural prefijado.  finalmente, se realiza un estudio de la convergencia de una nueva familia uniparametrica de procesos iterativos de orden tres.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Construccion de procesos iterativos mediante aceleraciones del metodo de newton.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Construccion de procesos iterativos mediante aceleraciones del metodo de newton. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Ezquerro Fernandez Jos\u00e9 Antonio <\/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: Manuel Arrate Pe\u00f1a <\/li>\n<li>Gabriela Sansigre Vidal (vocal)<\/li>\n<li>Jos\u00e9 Rodriguez Exposito (vocal)<\/li>\n<li> Candela Pomares Vicente F. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ezquerro Fernandez Jos\u00e9 Antonio Teniendo en cuenta la interpretacion geometrica del metodo de newton en el caso [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,126,16191,18890],"tags":[246464,185850,246463,118007,117639,103652],"class_list":["post-132589","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-matematicas","category-metodos-iterativos","category-rioja","tag-candela-pomares-vicente-f","tag-ezquerro-fernandez-jose-antonio","tag-gabriela-sansigre-vidal","tag-hernandez-veron-miguel-angel","tag-jose-rodriguez-exposito","tag-manuel-arrate-pena"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/132589","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=132589"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/132589\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=132589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=132589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=132589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}