{"id":379,"date":"2018-07-12T09:23:20","date_gmt":"2018-07-12T09:23:20","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&p=379"},"modified":"2019-05-15T09:07:38","modified_gmt":"2019-05-15T09:07:38","slug":"iterative-methods-for-solving-systems-of-linear-equations","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/iterative-methods-for-solving-systems-of-linear-equations\/","title":{"rendered":"Iterative methods for solving Systems of Linear equations"},"content":{"raw":"
\"epgp<\/a>\r\n<\/span><\/div>\r\n

Iterative methods for solving Systems of Linear equations<\/strong><\/p>\r\n \r\n\r\n \r\n\r\n\"\" \"\" \"\" \"\" \"\" \"\" \"\" \"\" \"\"\r\n\r\nAdditional Reading material<\/strong>\r\n\r\n \r\n

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

\r\n\r\n\r\n\r\n\r\n
you can view video on Iterative methods for solving Systems of Linear equations<\/strong><\/td>\r\n\"\"<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\nReferences:<\/strong>\r\n\r\n \r\n\r\n1.\u00a0\u00a0\u00a0 Steven C Chapra & Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2.\u00a0\u00a0 Conte Samuel D. & 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 & J. Douglas Faires: N A \u2013Theory& Applications, Cengage Learning, 2005.\r\n\r\n5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6.\u00a0 \u00a0 Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7.\u00a0 \u00a0 Matheus Grasselli & 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\n12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0& \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span>\r\n\r\n13.\u00a0 \u00a0 Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley & Sons Inc., 2011.<\/span>\r\n\r\n<\/div>","rendered":"
\"epgp<\/a>
\n<\/span><\/div>\n

Iterative methods for solving Systems of Linear equations<\/strong><\/p>\n

 <\/p>\n

 <\/p>\n

\"\" \"\" \"\" \"\" \"\" \"\" \"\" \"\" \"\"<\/p>\n

Additional Reading material<\/strong><\/p>\n

 <\/p>\n

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

\n\n\n\n
you can view video on Iterative methods for solving Systems of Linear equations<\/strong><\/td>\n\"\"<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

References:<\/strong><\/p>\n

 <\/p>\n

1.\u00a0\u00a0\u00a0 Steven C Chapra & Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n

2.\u00a0\u00a0 Conte Samuel D. & Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n

3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n

4.\u00a0\u00a0 Richard L. Burden & J. Douglas Faires: N A \u2013Theory& Applications, Cengage Learning, 2005.<\/p>\n

5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, & John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n

6.\u00a0 \u00a0 Kendall Atkinson & Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n

7.\u00a0 \u00a0 Matheus Grasselli & Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n

8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n

9.\u00a0\u00a0 Polynomial interpolation,From Wikipedia, the free encyclopaedia<\/p>\n

10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n

11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n

12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0& \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n

13.\u00a0 \u00a0 Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley & Sons Inc., 2011.<\/span><\/p>\n<\/div>\n","protected":false},"author":4,"menu_order":31,"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-379","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\/379","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":5,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/379\/revisions"}],"predecessor-version":[{"id":614,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/379\/revisions\/614"}],"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\/379\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=379"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=379"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=379"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}