{"id":15502,"date":"2002-08-02T00:00:00","date_gmt":"2002-08-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algoritmos-eficientes-en-algebra-computacional-el-metodo-de-barnett-bezoutianos-y-su-aplicacion-a-la-descomposicion-en-factores-libres-de-cuadrados\/"},"modified":"2002-08-02T00:00:00","modified_gmt":"2002-08-02T00:00:00","slug":"algoritmos-eficientes-en-algebra-computacional-el-metodo-de-barnett-bezoutianos-y-su-aplicacion-a-la-descomposicion-en-factores-libres-de-cuadrados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algoritmos-eficientes-en-algebra-computacional-el-metodo-de-barnett-bezoutianos-y-su-aplicacion-a-la-descomposicion-en-factores-libres-de-cuadrados\/","title":{"rendered":"Algoritmos eficientes en algebra computacional. el m\u00e9todo de barnett, bezoutianos y su aplicaci\u00f3n a la descomposici\u00f3n en factores libres de cuadrados"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gema M. Diaz Toca <\/strong><\/h2>\n<p>Esta tesis doctoral tiene como principal objetivo presentar algoritmos eficientes para la resoluci\u00f3n de problemas en algebra computacional que surgen al introducir par\u00e1metros en la utilizaci\u00f3n de algoritmos cl\u00e1sicos como, por ejemplo, el algoritmo de euclides.  todos los algoritmos presentados tienen como herramienta una modificaci\u00f3n del m\u00e9todo de barnett basada en la matriz de bezout. Este m\u00e9todo permite dar algoritmos eficientes para la resoluci\u00f3n de los siguientes problemas:  * la parametrizaci\u00f3n del grado del m\u00e1ximo com\u00fan divisor de una familia de polinomios.  * la descomposici\u00f3n param\u00e9trica en factores libres de cuadrados.  este \u00faltimo algoritmo a su vez es herramienta fundamental en el desarrollo de otros tres algoritmos presentados para:  * la integraci\u00f3n de funciones racionales param\u00e9tricas.  * la descomposici\u00f3n de un ideal 0-dimensional en conjuntos triangulares.  * la determinaci\u00f3n de las expansiones de puiseux de un polinomio utilizando el lema de hensel.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algoritmos eficientes en algebra computacional. el m\u00e9todo de barnett, bezoutianos y su aplicaci\u00f3n a la descomposici\u00f3n en factores libres de cuadrados<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algoritmos eficientes en algebra computacional. el m\u00e9todo de barnett, bezoutianos y su aplicaci\u00f3n a la descomposici\u00f3n en factores libres de cuadrados <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gema M. Diaz Toca <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 08\/02\/2002<\/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>vega Gonzalez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Recio nu\u00f1iz tom\u00e1s Jes\u00fas <\/li>\n<li>bernard Mourrain (vocal)<\/li>\n<li> Zurro moro Mar\u00eda  de los angeles (vocal)<\/li>\n<li>m. Corless robert (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gema M. Diaz Toca Esta tesis doctoral tiene como principal objetivo presentar algoritmos eficientes para la resoluci\u00f3n [&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":[2809,36884,10518,126],"tags":[49415,49412,49417,49414,49413,49416],"class_list":["post-15502","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebras-no-asociativas","category-cantabria","category-matematicas","tag-bernard-mourrain","tag-gema-m-diaz-toca","tag-m-corless-robert","tag-recio-nuniz-tomas-jesus","tag-vega-gonzalez","tag-zurro-moro-maria-de-los-angeles"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15502","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=15502"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15502\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=15502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=15502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=15502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}