{"id":53,"date":"2022-09-07T16:01:18","date_gmt":"2022-09-07T16:01:18","guid":{"rendered":"https:\/\/www.unioviedo.es\/compnum\/?page_id=53"},"modified":"2022-09-07T16:03:24","modified_gmt":"2022-09-07T16:03:24","slug":"unit-3-function-approximation","status":"publish","type":"page","link":"https:\/\/www.unioviedo.es\/compnum\/index.php\/unit-3-function-approximation\/","title":{"rendered":"Unit 3. Function approximation"},"content":{"rendered":"\n<p>1.&nbsp;Lagrange polynomial interpolation<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex01.html\">Exercise 3.1.1:<\/a><\/strong>\u00a0Fundamental Lagrange polynomial<a href=\"https:\/\/web.microsoftstream.com\/video\/2b70b407-5498-40ea-95ab-0bc4f9ad1d31\"><br><\/a><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex03.html\">Exercise 3.1.2:<\/a><\/strong>\u00a0Divided differences. Newton&#8217;s form<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>2. Piecewise polynomial interpolation<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex05.html\">Exercise 3.2.1:<\/a><\/strong>\u00a0Linear piecewise interpolation<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex09.html\">Exercise 3.2.2:<\/a><\/strong>\u00a0Interpolation with cubic splines<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>3.&nbsp; Least-squares regression line<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex10.html\">Exercise 3.3.1<\/a><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>4. Fitting a function after linearizing it<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex11.html\">Exercise 3.4.1:<\/a><\/strong>\u00a0Exponential function<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex12.html\">Exercise 3.4.2:<\/a><\/strong>\u00a0Power function<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex13.html\">Exercise 3.4.3:<\/a>\u00a0<\/strong>Hyperbolic function<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex14.html\">Exercise 3.4.4:<\/a><\/strong>\u00a0Logistic function<\/p>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\"\/>\n\n\n\n<p>5. Fitting a function with a polynomial<\/p>\n\n\n\n<p><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex16.html\">Exercise 3.5.1:<\/a>&nbsp;<\/strong>Continuous case. Orthogonal polynomials<br><strong><a href=\"https:\/\/www.unioviedo.es\/compnum\/Ejercicios_html\/T3_Ex17.html\">Exercise 3.5.2:<\/a>&nbsp;<\/strong>Discrete&nbsp;case<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1.&nbsp;Lagrange polynomial interpolation Exercise 3.1.1:\u00a0Fundamental Lagrange polynomialExercise 3.1.2:\u00a0Divided differences. Newton&#8217;s form 2. Piecewise polynomial interpolation Exercise 3.2.1:\u00a0Linear piecewise interpolationExercise 3.2.2:\u00a0Interpolation with cubic splines 3.&nbsp; Least-squares regression line Exercise 3.3.1 4. Fitting a function after linearizing it Exercise 3.4.1:\u00a0Exponential functionExercise 3.4.2:\u00a0Power functionExercise 3.4.3:\u00a0Hyperbolic functionExercise 3.4.4:\u00a0Logistic function 5. Fitting a function with a polynomial Exercise 3.5.1:&nbsp;Continuous case. [&hellip;]<\/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-53","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/53","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=53"}],"version-history":[{"count":5,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions"}],"predecessor-version":[{"id":258,"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions\/258"}],"wp:attachment":[{"href":"https:\/\/www.unioviedo.es\/compnum\/index.php\/wp-json\/wp\/v2\/media?parent=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}