{"id":4051,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/propiedades-espectrales-de-matrices-el-indice-de-matrices-triangulares-por-bloques-la-raiz-perron-de-matrices-cociclicas-por-bloques\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"propiedades-espectrales-de-matrices-el-indice-de-matrices-triangulares-por-bloques-la-raiz-perron-de-matrices-cociclicas-por-bloques","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/propiedades-espectrales-de-matrices-el-indice-de-matrices-triangulares-por-bloques-la-raiz-perron-de-matrices-cociclicas-por-bloques\/","title":{"rendered":"Propiedades espectrales de matrices: el indice de matrices triangulares por bloques. la raiz perron de matrices cociclicas por bloques."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Joan Josep Climent Coloma <\/strong><\/h2>\n<p>En la tesis se estudian dos problemas relacionados con las propiedades espectrales de matrices. El primero es la caracterizacion de todos los posibles valores del indice de una matriz triangular superior por bloques m. Con dos bloques diagonales a y b, que son matrices singulares no necesariamente del mismo tama\u00f1o. En concreto, se establecen cuatro caracterizaciones distintas, pero equivalentes, del indice de la matriz m en termino de:  (1) las imagenes y nucleos de ciertas potencias de las matrices a y b, (2) las inversas drazin de las matrices a y b, (3) la altura y la profundidad de ciertos vectores propios generalizados de las matrices a y b, y (4) las cadenas de jordan de las matrices a y b. Ademas, se da un algoritmo que permite determinar una cota inferior y una cota superior de los teminos de la caracteristica de weyr de la matriz m a partir de las caracteristica de weyr de las matrices a y b, del bloque superior de la matriz m. Y de las cadenas de jordan de las matrices a y b.  el segundo problema es el estudio del cociente entre el radio espectral del producto de dos matrices cociclicas no negativas y el correspondiente producto de radios espectrales, en terminos de los vectores perron de dichas matrices. Partiendo de una cota superior conocida para dicho cociente, se establece una condicion necesaria y suficiente para que se alcance dicha cota superior, y se construye un par de matrices cociclicas por bloques no negativas para las cuales se alcanza dicha cota superior.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Propiedades espectrales de matrices: el indice de matrices triangulares por bloques. la raiz perron de matrices cociclicas por bloques.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Propiedades espectrales de matrices: el indice de matrices triangulares por bloques. la raiz perron de matrices cociclicas por bloques. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Joan Josep Climent Coloma <\/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\/1994<\/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>Rafael Bru Garc\u00eda<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Manuel L\u00f3pez Pellicer <\/li>\n<li>Josep Ferrer Llop (vocal)<\/li>\n<li>Ferran Puerta Sales (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 Joan Josep Climent Coloma En la tesis se estudian dos problemas relacionados con las propiedades espectrales 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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