{"id":260,"date":"2017-12-16T13:45:05","date_gmt":"2017-12-16T18:45:05","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=260"},"modified":"2026-04-05T05:41:10","modified_gmt":"2026-04-05T10:41:10","slug":"1eva2016ti_t4_mn-conceptos","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2016ti_t4_mn-conceptos\/","title":{"rendered":"1Eva2016TI_T4_MN Conceptos"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2016-2017. 28\/junio\/2016. ICM02188 M\u00e9todos Num\u00e9ricos<\/h2>\n\n\n\n<p><strong>Tema 4<\/strong>. (25 puntos) Responda las siguientes preguntas y justifique la respuesta<\/p>\n\n\n\n<p>a) Si la \u2016T<sub>j<\/sub>\u2016<sub>\u221e<\/sub> &gt; 1 , entonces el m\u00e9todo de Jacobi no converge<\/p>\n\n\n\n<p>b) Si <em>f<\/em> \u2208 C<sup>2<\/sup>[a,b] y <em>p<\/em> \u2208 [a,b],<br> tal que <em>f<\/em>(<em>p<\/em>)=0 y <em>f<\/em> '(<em>p<\/em>)\u22600,<br>entonces existe\u00a0\u03b4 &gt; 0 tal que el m\u00e9todo de Newton converge para cualquier<\/p>\n\n\n\n<p class=\"has-text-align-center\"><em>p<\/em><sub>0<\/sub> \u2208\u00a0[<em>p<\/em> - \u03b4, <em>p<\/em> + \u03b4]<\/p>\n\n\n\n<p><em><strong>R\u00fabrica<\/strong><\/em>: literal a) falso&nbsp; (6 puntos), Justificaci\u00f3n (6 puntos), literal b) verdadero (6 puntos), demostraci\u00f3n (7 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2016-2017. 28\/junio\/2016. ICM02188 M\u00e9todos Num\u00e9ricos Tema 4. (25 puntos) Responda las siguientes preguntas y justifique la respuesta a) Si la \u2016Tj\u2016\u221e &gt; 1 , entonces el m\u00e9todo de Jacobi no converge b) Si f \u2208 C2[a,b] y p \u2208 [a,b], tal que f(p)=0 y f '(p)\u22600,entonces existe\u00a0\u03b4 &gt; 0 tal que [&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-260","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\/260","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=260"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/260\/revisions"}],"predecessor-version":[{"id":14146,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/260\/revisions\/14146"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}