{"id":407,"date":"2017-11-11T16:05:02","date_gmt":"2017-11-11T21:05:02","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=407"},"modified":"2025-12-04T07:59:18","modified_gmt":"2025-12-04T12:59:18","slug":"1eva2011tii_t2-sistema-de-ecuaciones-diagonal-dominante","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2011tii_t2-sistema-de-ecuaciones-diagonal-dominante\/","title":{"rendered":"1Eva2011TII_T2 Sistema de Ecuaciones, diagonal dominante"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2011-2012. 29\/Noviembre\/2011. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. Considere el sistema AX = B dado por<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\begin{cases} -2x+5y+9z=1\\\\7x+y+z=6\\\\-3x+7y-z=-26\\end{cases} <\/span>\n\n\n\n<p>Arregle el sistema de tal manera que la diagonal de A sea estrictamente dominante.<\/p>\n\n\n\n<p>a) Calcular el valor de ||T||<sub>\u221e<\/sub><\/p>\n\n\n\n<p>b) Escribir el algoritmo de Gauss-Seidel.<\/p>\n\n\n\n<p>c) Dado X<sup>(0)<\/sup> = 0, iterar hasta que<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\frac{||X^{(k)} - X^{(k-1)}||}{||X^{(k)}||} \\lt 10^{-4}<\/span>\n\n\n\n<p>Escriba una tabla de resultados.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>A = &#091;&#091;-2, 5, 9],\n     &#091; 7, 1, 1],\n     &#091;-3, 7,-1]]\nB = &#091;1,6,-26]<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2011-2012. 29\/Noviembre\/2011. ICM00158 Tema 2. Considere el sistema AX = B dado por Arregle el sistema de tal manera que la diagonal de A sea estrictamente dominante. a) Calcular el valor de ||T||\u221e b) Escribir el algoritmo de Gauss-Seidel. c) Dado X(0) = 0, iterar hasta que Escriba una tabla de [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[62],"class_list":["post-407","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-matriciales-iterativos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/407","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=407"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/407\/revisions"}],"predecessor-version":[{"id":14065,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/407\/revisions\/14065"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}