{"id":404,"date":"2018-07-12T09:45:12","date_gmt":"2018-07-12T09:45:12","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=404"},"modified":"2019-05-15T09:13:38","modified_gmt":"2019-05-15T09:13:38","slug":"eigenvalues-and-eigenvectors-of-real-matrices-2","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/eigenvalues-and-eigenvectors-of-real-matrices-2\/","title":{"rendered":"Eigenvalues and Eigenvectors of real matrices-2"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/C3Vnv_OjaaI\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<p style=\"text-align: center;\"><strong>Eigenvalues and Eigenvectors of real matrices-2<\/strong><\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-416 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876.jpg\" alt=\"\" width=\"1296\" height=\"1661\" \/> <img class=\"aligncenter wp-image-415 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_02-e1533213588521.jpg\" alt=\"\" width=\"1309\" height=\"1976\" \/> <img class=\"aligncenter wp-image-414 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_03-e1533213608951.jpg\" alt=\"\" width=\"1298\" height=\"1970\" \/> <img class=\"aligncenter wp-image-413 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_04-e1533213626164.jpg\" alt=\"\" width=\"1315\" height=\"1953\" \/> <img class=\"aligncenter wp-image-412 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_05-e1533213643915.jpg\" alt=\"\" width=\"1315\" height=\"1953\" \/> <img class=\"aligncenter wp-image-411 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_06-e1533213663232.jpg\" alt=\"\" width=\"1303\" height=\"1859\" \/> <img class=\"aligncenter wp-image-410 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_07-e1533213685719.jpg\" alt=\"\" width=\"1233\" height=\"1882\" \/> <img class=\"aligncenter wp-image-409 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_08-e1533213707771.jpg\" alt=\"\" width=\"1233\" height=\"1958\" \/> <img class=\"wp-image-408 alignnone\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_09-e1533213727390.jpg\" alt=\"\" width=\"736\" height=\"1274\" \/> <img class=\"wp-image-407 size-full alignright\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_10-e1533213754582.jpg\" alt=\"\" width=\"1238\" height=\"1943\" \/> <img class=\"wp-image-406 alignnone\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_11-e1533213798991.jpg\" alt=\"\" width=\"803\" height=\"1306\" \/> <img class=\"aligncenter wp-image-405 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810.jpg\" alt=\"\" width=\"1290\" height=\"471\" \/>\r\n\r\n<strong style=\"text-align: initial; font-size: 1em;\">Additional Reading material<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify;\"><span style=\"text-align: justify; font-size: 1em;\">The following are some of the references on Eigenvalues and Eigenvectors. For various results on Eigenvalues and Eigenvectors one may refer to [2], [3], [13] and for various methods and for computational aspets one may refer to [3], [12].<\/span><\/p>\r\n\r\n<div style=\"text-align: center;\">\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Eigenvalues and Eigenvectors of real matrices-2<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/C3Vnv_OjaaI\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n<strong>References<\/strong>:\r\n\r\n&nbsp;\r\n\r\n1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory&amp; Applications, Cengage Learning, 2005.\r\n\r\n5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7.\u00a0 \u00a0Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n9.\u00a0\u00a0 Polynomial interpolation,From Wikipedia, the free encyclopaedia\r\n\r\n10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.\r\n\r\n11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.\r\n\r\n<span style=\"font-size: 1em;\">12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span>\r\n\r\n<span style=\"text-align: initial; font-size: 1em;\">13.\u00a0 \u00a0Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011.<\/span>\r\n\r\n<\/div>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/C3Vnv_OjaaI\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p style=\"text-align: center;\"><strong>Eigenvalues and Eigenvectors of real matrices-2<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-416 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876.jpg\" alt=\"\" width=\"1296\" height=\"1661\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876.jpg 1296w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876-234x300.jpg 234w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876-768x984.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_01-e1533213570876-799x1024.jpg 799w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_11-e1533213798991-350x569.jpg 350w\" sizes=\"auto, (max-width: 803px) 100vw, 803px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-405 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810.jpg\" alt=\"\" width=\"1290\" height=\"471\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810.jpg 1290w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-300x110.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-768x280.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-1024x374.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-225x82.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730223module32-eigenvalues-eigenvectors-2_Page_12-e1533213828810-350x128.jpg 350w\" sizes=\"auto, (max-width: 1290px) 100vw, 1290px\" \/><\/p>\n<p><strong style=\"text-align: initial; font-size: 1em;\">Additional Reading material<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"text-align: justify; font-size: 1em;\">The following are some of the references on Eigenvalues and Eigenvectors. For various results on Eigenvalues and Eigenvectors one may refer to [2], [3], [13] and for various methods and for computational aspets one may refer to [3], [12].<\/span><\/p>\n<div style=\"text-align: center;\">\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Eigenvalues and Eigenvectors of real matrices-2<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/C3Vnv_OjaaI\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>References<\/strong>:<\/p>\n<p>&nbsp;<\/p>\n<p>1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n<p>2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n<p>3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n<p>4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory&amp; Applications, Cengage Learning, 2005.<\/p>\n<p>5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n<p>6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n<p>7.\u00a0 \u00a0Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n<p>8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n<p>9.\u00a0\u00a0 Polynomial interpolation,From Wikipedia, the free encyclopaedia<\/p>\n<p>10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n<p>11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n<p><span style=\"font-size: 1em;\">12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n<p><span style=\"text-align: initial; font-size: 1em;\">13.\u00a0 \u00a0Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011.<\/span><\/p>\n<\/div>\n","protected":false},"author":4,"menu_order":33,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-v-d-pathak"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-404","chapter","type-chapter","status-publish","hentry","contributor-dr-v-d-pathak"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/404","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":6,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/404\/revisions"}],"predecessor-version":[{"id":618,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/404\/revisions\/618"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/404\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=404"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=404"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=404"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}