{"id":84712,"date":"2018-03-10T00:09:03","date_gmt":"2018-03-10T00:09:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/procesos-iterativos-definidos-mediante-diferencias-divididas\/"},"modified":"2018-03-10T00:09:03","modified_gmt":"2018-03-10T00:09:03","slug":"procesos-iterativos-definidos-mediante-diferencias-divididas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/procesos-iterativos-definidos-mediante-diferencias-divididas\/","title":{"rendered":"Procesos iterativos definidos mediante diferencias divididas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> M. Jes\u00fas Rubio Crespo <\/strong><\/h2>\n<p>En esta tesis se investiga el problema de la resoluci\u00f3n de ecuaciones definidas mediante operadores no lineales en espacios de banach. Para ello, se han considerado procesos iterativos que, sin necesitar la utilizaci\u00f3n del operador derivada en su implementaci\u00f3n, mantiene una velocidad de convergencia superlineal. En primer lugar se estudia el m\u00e9todo de la secante. A partir de este proceso iterativo se construyen otros m\u00e9todos de tipo secnate que conectan dicho m\u00e9todo con el newton. Se realiza el an\u00e1lisis de la convergencia semilocal, utilizando dos nuevas t\u00e9cncias que consisten en la construcci\u00f3n de relaciones de recurrencia. Estas t\u00e9cnicas permiten obtener cotas a priori del error y abordar el estudio de operadores no diferenciables. Finalmente se aplican estos m\u00e9todos a la resoluci\u00f3n de tres tipos de problemas. En primer lugar se considera un caso particular de problemas conservativos. en segundo lugar se aborda el estudio de ecuaciones integrales de tipo hammerstein. Por \u00faltimo se consideran ecuaciones integrales que surgen de la transferencia radiactiva.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Procesos iterativos definidos mediante diferencias divididas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Procesos iterativos definidos mediante diferencias divididas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 M. Jes\u00fas Rubio Crespo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/05\/2000<\/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: Francisco Marcellan espa\u00f1ol <\/li>\n<li>jean-claude Yakoubsohn (vocal)<\/li>\n<li> Garay de pablo Jos\u00e9 (vocal)<\/li>\n<li>Jos\u00e9 Manuel Guti\u00e9rrez jim\u00e9nez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de M. Jes\u00fas Rubio Crespo En esta tesis se investiga el problema de la resoluci\u00f3n de ecuaciones definidas [&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":[1191,16880,126,16191,31342,19585,18890],"tags":[4781,28645,118007,39396,78315,178803],"class_list":["post-84712","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-construccion-de-algoritmos","category-matematicas","category-metodos-iterativos","category-resolucion-de-ecuaciones-diferenciales","category-resolucion-de-ecuaciones-integrales","category-rioja","tag-francisco-marcellan-espanol","tag-garay-de-pablo-jose","tag-hernandez-veron-miguel-angel","tag-jean-claude-yakoubsohn","tag-jose-manuel-gutierrez-jimenez","tag-m-jesus-rubio-crespo"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84712","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=84712"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84712\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=84712"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=84712"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=84712"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}