{"id":25087,"date":"2018-03-09T09:16:19","date_gmt":"2018-03-09T09:16:19","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algoritmos-paralelos-para-la-resolucion-de-sistemas-de-ecuaciones-y-del-problema-lineal-de-ma%c2%adnimos-cuadrados-con-matrices-toeplitz\/"},"modified":"2018-03-09T09:16:19","modified_gmt":"2018-03-09T09:16:19","slug":"algoritmos-paralelos-para-la-resolucion-de-sistemas-de-ecuaciones-y-del-problema-lineal-de-ma%c2%adnimos-cuadrados-con-matrices-toeplitz","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/politecnica-de-valencia\/algoritmos-paralelos-para-la-resolucion-de-sistemas-de-ecuaciones-y-del-problema-lineal-de-ma%c2%adnimos-cuadrados-con-matrices-toeplitz\/","title":{"rendered":"Algoritmos paralelos para la resoluci\u00f3n de sistemas de ecuaciones y del problema lineal de m\u00ednimos cuadrados con matrices toeplitz"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Pedro Alonso Jord\u00e1 <\/strong><\/h2>\n<p>El desplazamiento de rango de ciertas matrices puede ser aprovechado para resolver con un coste reducido sistemas de ecuaciones lineales o el problema lineal de m\u00ednimos cuadrados.  existen numerosas aplicaciones en las que surgen este tipo de matrices. sin embargo, la paralelizaci\u00f3n de estos algoritmos r\u00e1pidos es un campo poco tratado debido, principalmente a que es dif\u00edcil obtener algoritmos eficientes y escalables con este tipo de matrices. Se trata de algoritmos con un coste muy reducido y una gran dependencia entre las operaciones. este problema es especialmente importante cuando se trata con arquitecturas paralelas con memoria distribuida.  en esta tesis han sido desarrollados diversos algoritmos paralelos portables y eficientes que resuelven sistemas de ecuaciones y el problema lineal de m\u00ednimos cuadrados con matrices de toeplitz. Adem\u00e1s, se ha tratado de que los algoritmos obtenidos sean estables y ofrezcan resultados precisos. las implementaciones se han llevado a cabo sobre una arquitectura paralela distribuida de alta disponibilidad como son los clusters de ordenadores personales.  se aplica, con buenos resultados, uno de los algoritmos desarrollados a un caso pr\u00e1ctico: el dise\u00f1o de filtros digitales para la reproducci\u00f3n de sonido multicanal.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algoritmos paralelos para la resoluci\u00f3n de sistemas de ecuaciones y del problema lineal de m\u00ednimos cuadrados con matrices toeplitz<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algoritmos paralelos para la resoluci\u00f3n de sistemas de ecuaciones y del problema lineal de m\u00ednimos cuadrados con matrices toeplitz <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Pedro Alonso Jord\u00e1 <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/07\/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> Vidal Maci\u00e1 Antonio  M.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: vicente Hernandez garcia <\/li>\n<li>Jos\u00e9 Penades Martinez (vocal)<\/li>\n<li>Alberto Gonz\u00e1lez salvador (vocal)<\/li>\n<li>violeta Migallon gomis (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pedro Alonso Jord\u00e1 El desplazamiento de rango de ciertas matrices puede ser aprovechado para resolver con un [&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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