{"id":418,"date":"2014-06-08T21:23:31","date_gmt":"2014-06-08T18:23:31","guid":{"rendered":"http:\/\/www.sjut.org\/math\/?p=418"},"modified":"2014-06-08T21:24:36","modified_gmt":"2014-06-08T18:24:36","slug":"mat210-l17-interpolation-lagrangian","status":"publish","type":"post","link":"http:\/\/www.sjut.org\/math\/index.php\/mat210-l17-interpolation-lagrangian\/","title":{"rendered":"MAT210 Lesson 17: Lagrangian Interpolation"},"content":{"rendered":"<p>Along with the two other single polynomial interpolation method, Direct and Newton&#8217;s Divided Difference, there is a 3rd way, which is based on a weighted average of<br \/>\nthe function values for points in the data set. Lagrangian Interpolation uses a set of polynomials that weight the function values based on the relative distance from the target point to each other point.<\/p>\n<p><a title=\"MAT210 L17: Interpolation: Lagrangian\" href=\"http:\/\/www.sjut.org\/math\/index.php\/courselist\/mat210\/mat210-l17-interpolation-lagrangian\/\">Click here for lecture slides<\/a> based on Kaw Chapter 5, <a href=\"http:\/\/mathforcollege.com\/nm\/topics\/lagrange_method.html\" target=\"_blank\">Section 5.04<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Along with the two other single polynomial interpolation method, Direct and Newton&#8217;s Divided Difference, there is a 3rd way, which is based on a weighted average of the function values [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[43],"tags":[35,54],"jetpack_featured_media_url":"","_links":{"self":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/418"}],"collection":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/comments?post=418"}],"version-history":[{"count":2,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/418\/revisions"}],"predecessor-version":[{"id":420,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/posts\/418\/revisions\/420"}],"wp:attachment":[{"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/media?parent=418"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/categories?post=418"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sjut.org\/math\/index.php\/wp-json\/wp\/v2\/tags?post=418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}