{"id":57,"date":"2022-09-07T16:07:03","date_gmt":"2022-09-07T16:07:03","guid":{"rendered":"https:\/\/www.unioviedo.es\/compnum\/?page_id=57"},"modified":"2022-09-07T16:08:31","modified_gmt":"2022-09-07T16:08:31","slug":"unit-5-systems-of-linear-equations","status":"publish","type":"page","link":"https:\/\/www.unioviedo.es\/compnum\/index.php\/unit-5-systems-of-linear-equations\/","title":{"rendered":"Unit 5. Systems of linear equations"},"content":{"rendered":"\n<p>1. Gauss method<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_a.html\">Exercise 5.1.1:<\/a><\/strong>\u00a0without pivoting<a href=\"https:\/\/web.microsoftstream.com\/video\/2b70b407-5498-40ea-95ab-0bc4f9ad1d31\"><br><\/a><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_b.html\">Exercise 5.1.2:<\/a><\/strong> with partial pivoting<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>2. Gauss-Jordan method<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_c.html\">Exercise 5.2.1:<\/a>\u00a0<\/strong>calculating the inverse matrix<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>3.&nbsp; LU decomposition<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_d.html\">Exercise 5.3.1:<\/a><\/strong> without pivoting<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_e.html\">Exercise 5.3.2:<\/a><\/strong>\u00a0with partial pivoting<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>4. Determinant of a matrix<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex1_f.html\">Exercise 5.4.1<\/a><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>5. Jacobi method<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex2_Jacobi.html\">Exercise 5.5.1:<\/a>\u00a0<\/strong>convergence<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex3_Jacobi.html\">Exercise 5.5.2:<\/a>\u00a0<\/strong>iterations<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>6. Gauss-Seidel method<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex2_Gauss-Seidel.html\">Exercise 5.6.1:<\/a>\u00a0<\/strong>convergence<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex3_Gauss-Seidel.html\">Exercise 5.6.2:<\/a>\u00a0<\/strong>iterations<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>7. Matrix conditioning<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T5_Ex4.html\">Exercise 5.7.1<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Gauss method Exercise 5.1.1:\u00a0without pivotingExercise 5.1.2: with partial pivoting 2. Gauss-Jordan method Exercise 5.2.1:\u00a0calculating the inverse matrix 3.&nbsp; LU decomposition Exercise 5.3.1: without pivotingExercise 5.3.2:\u00a0with partial pivoting 4. Determinant of a matrix Exercise 5.4.1 5. Jacobi method Exercise 5.5.1:\u00a0convergenceExercise 5.5.2:\u00a0iterations 6. Gauss-Seidel method Exercise 5.6.1:\u00a0convergenceExercise 5.6.2:\u00a0iterations 7. Matrix conditioning Exercise 5.7.1<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-57","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/57","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":2,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/57\/revisions"}],"predecessor-version":[{"id":268,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/57\/revisions\/268"}],"wp:attachment":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/media?parent=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}