{"id":141421,"date":"2026-01-12T18:02:16","date_gmt":"2026-01-12T18:02:16","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/procedimientos-de-recurrencia-lineal-en-algebra-computacional\/"},"modified":"2026-01-12T18:02:16","modified_gmt":"2026-01-12T18:02:16","slug":"procedimientos-de-recurrencia-lineal-en-algebra-computacional","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/procedimientos-de-recurrencia-lineal-en-algebra-computacional\/","title":{"rendered":"Procedimientos de recurrencia lineal en algebra computacional"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Raquel Martinez Fernandez <\/strong><\/h2>\n<p>Esta tesis presenta las tecnicas algebraicas fundamentales para el tratamiento recursivo de sucesiones de recurrencia lineal definidas en un dominio de factorizacion unica. Estas tecnicas se aplican al dise\u00f1o de algoritmos simbolicos que determinan la relacion de orden minimo de una sucesion de recurrencia lineal, asi como rangos y determinantes de matrices generadas por estas sucesiones. Se desarrolla la conexion de la teoria de sucesiones de recurrencia lineal con: la teoria de realizacion minima, la teoria de funciones racionales y el algebra computacional.  esta conexion permite la construccion de algoritmos para la determinacion de resultantes de polinomios multivariables y de otras cuestiones relevantes en calculo simbolico. (Polinomios de bezout a dos polinomios dados, numero de raices reales distintas de un polinomio real, etc), y se realiza la implementacion de estos algoritmos en maple. El proceso anterior culmina en el dise\u00f1o y construccion del paquete de funciones, denominado irs, que integra los procedimientos construidos en un sistema completo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Procedimientos de recurrencia lineal en algebra computacional<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Procedimientos de recurrencia lineal en algebra computacional <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Raquel Martinez Fernandez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Alcal\u00e1<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/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 Llovet Verdugo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Tomas Recio Mu\u00f1iz <\/li>\n<li>Jos\u00e9 Alberto Ja\u00e9n Gallego (vocal)<\/li>\n<li> Freire Nistal Jos\u00e9 Luis (vocal)<\/li>\n<li>Michael Rothstein (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Raquel Martinez Fernandez Esta tesis presenta las tecnicas algebraicas fundamentales para el tratamiento recursivo de sucesiones de [&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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