{"id":359,"date":"2018-07-12T09:02:23","date_gmt":"2018-07-12T09:02:23","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=359"},"modified":"2018-08-03T04:31:53","modified_gmt":"2018-08-03T04:31:53","slug":"systems-of-linear-equations-motivation-and-introduction-2","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/systems-of-linear-equations-motivation-and-introduction-2\/","title":{"rendered":"Systems of Linear equations: Motivation and Introduction II"},"content":{"raw":"<p style=\"text-align: center\"><strong>Systems of Linear equations: Motivation and Introduction<\/strong><\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-365 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_1-e1533212485621.jpg\" alt=\"\" width=\"1284\" height=\"1709\" \/> <img class=\"aligncenter wp-image-364 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_2-e1533212503420.jpg\" alt=\"\" width=\"1303\" height=\"1783\" \/> <img class=\"aligncenter wp-image-363 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_3-e1533212522110.jpg\" alt=\"\" width=\"1303\" height=\"1976\" \/> <img class=\"aligncenter wp-image-362 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_4-e1533212553790.jpg\" alt=\"\" width=\"1303\" height=\"1900\" \/> <img class=\"aligncenter wp-image-361 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_5-e1533212573529.jpg\" alt=\"\" width=\"1303\" height=\"1888\" \/> <img class=\"aligncenter wp-image-360 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522.jpg\" alt=\"\" width=\"1297\" height=\"1890\" \/>\r\n\r\n<strong style=\"text-align: initial;font-size: 1em\">Additional Reading material<\/strong><span style=\"text-align: initial;font-size: 1em\">\u00a0<\/span>\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 Matrix Algebra, Systems of Linear equations, Numerical methods for solutions of the linear systems. The detailed discussion on the methods, algorithms and related results presented in this module can be found to some extent in the references [1], [2], [11] and [13].<\/span><\/p>\r\n\r\n<div style=\"text-align: center\">\r\n\r\n&nbsp;\r\n\r\n<strong>References:<\/strong>\r\n\r\n&nbsp;\r\n\r\n1. Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n4. Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.\r\n\r\n5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7.\u00a0 Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n8.\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n9.\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia\r\n\r\n10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.\r\n\r\n11.\u00a0 Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.\r\n\r\n<span style=\"font-size: 1em\">12. Robert J. Schilling &amp; Sandra L. Harris: \u00a0Applied Numerical Methods for Engineers, Thomson Brooks\/Kole, 1999.<\/span>\r\n\r\n<span style=\"font-size: 1em\">13. Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011<\/span>\r\n\r\n<\/div>","rendered":"<p style=\"text-align: center\"><strong>Systems of Linear equations: Motivation and Introduction<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-365 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_1-e1533212485621.jpg\" alt=\"\" width=\"1284\" height=\"1709\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_1-e1533212485621.jpg 1284w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_1-e1533212485621-225x299.jpg 225w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_5-e1533212573529-707x1024.jpg 707w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_5-e1533212573529-65x94.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_5-e1533212573529-225x326.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_5-e1533212573529-350x507.jpg 350w\" sizes=\"auto, (max-width: 1303px) 100vw, 1303px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-360 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522.jpg\" alt=\"\" width=\"1297\" height=\"1890\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522.jpg 1297w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-206x300.jpg 206w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-768x1119.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-703x1024.jpg 703w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-65x95.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-225x328.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1506670033Module-28-sys-of-equations_Page_6-e1533212598522-350x510.jpg 350w\" sizes=\"auto, (max-width: 1297px) 100vw, 1297px\" \/><\/p>\n<p><strong style=\"text-align: initial;font-size: 1em\">Additional Reading material<\/strong><span style=\"text-align: initial;font-size: 1em\">\u00a0<\/span><\/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 Matrix Algebra, Systems of Linear equations, Numerical methods for solutions of the linear systems. The detailed discussion on the methods, algorithms and related results presented in this module can be found to some extent in the references [1], [2], [11] and [13].<\/span><\/p>\n<div style=\"text-align: center\">\n<p>&nbsp;<\/p>\n<p><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>1. Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n<p>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n<p>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n<p>4. Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.<\/p>\n<p>5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n<p>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n<p>7.\u00a0 Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n<p>8.\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n<p>9.\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/p>\n<p>10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n<p>11.\u00a0 Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n<p><span style=\"font-size: 1em\">12. Robert J. Schilling &amp; Sandra L. Harris: \u00a0Applied Numerical Methods for Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n<p><span style=\"font-size: 1em\">13. Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011<\/span><\/p>\n<\/div>\n","protected":false},"author":4,"menu_order":29,"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-359","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\/359","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":4,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/359\/revisions"}],"predecessor-version":[{"id":566,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/359\/revisions\/566"}],"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\/359\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=359"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=359"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=359"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}