{"id":32128,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/problemas-de-completacion-de-matrices-parciales-triangulares-superiores\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"problemas-de-completacion-de-matrices-parciales-triangulares-superiores","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/problemas-de-completacion-de-matrices-parciales-triangulares-superiores\/","title":{"rendered":"Problemas de completacion de matrices parciales triangulares superiores."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Cristina Jordan Lluch <\/strong><\/h2>\n<p>La memoria que lleva por titulo \u00abproblemas de completacion de matrices parciales triangulares superiores\u00bb, se centra en dos grandes problemas de completacion de matrices parciales triangulares superiores relacionados con la existencia de completaciones nilpotentes con forma de jordan prescrita y con la teoria de controlabilidad respectivamente.  concretamente, la primera de las partes en las que se divide dicha memoria, analiza, tras una breve rese\u00f1a historica, la situacion actual de estos problemas y describe nuestras aportaciones a su resolucion.  en la segunda parte, en relacion a la existencia de completaciones nilpotentes con forma de jordan prescrita, se estudian dos conjeturas planteadas pero los profesores rodman y shalom en 1992. Resolvemos la primera de ellas, damos casos en los que la sengunda es valida, y describimos un algoritmo que encuentra, en determinada situaciones, una completacion con las caracteristicas deseada. Ademas estudiamos relaciones entre ambas conjeturas demostrando su equiValencia para determinados tipos de matrices.  en la tercera parte, dada una matriz parcial triangular superior a, se demuestra en primer lugar la existencia de una matriz b, y una completacion ac de a tal que el par (ac, b) tenga una sucesion de r-numeros prescritos. A continuacion fijada la matriz b se caracteriza la existencia de una completacion ac de a de manera que el par (ac, b) sea completamente controlable, formulando un algoritmo que permite la obtencion explicita de dicha matriz.  se dan ademas algunas condiciones suficientes para la existencia de una completacion ac de a de manera que, fijada una matriz b, el par (ac, b) tenga por indices de controlabilidad una sucesion fijada con anterioridad.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problemas de completacion de matrices parciales triangulares superiores.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problemas de completacion de matrices parciales triangulares superiores. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Cristina Jordan Lluch <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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>Juan  Ram\u00f3n Torregrosa S\u00e1nchez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Rafael Bru Garc\u00eda <\/li>\n<li>Ferran Puerta Sales (vocal)<\/li>\n<li>R. Johnson Charles (vocal)<\/li>\n<li>Ion Zaballa Tejada (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Cristina Jordan Lluch La memoria que lleva por titulo \u00abproblemas de completacion de matrices parciales triangulares superiores\u00bb, [&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":[2809,12792,126,16820,8246],"tags":[88896,15792,16888,74685,88897,15793],"class_list":["post-32128","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-lineal","category-matematicas","category-politecnica-de-valencia","category-teoria-de-matrices","tag-cristina-jordan-lluch","tag-ferran-puerta-sales","tag-ion-zaballa-tejada","tag-juan-ramon-torregrosa-sanchez","tag-r-johnson-charles","tag-rafael-bru-garcia"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/32128","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=32128"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/32128\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=32128"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=32128"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=32128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}