{"id":2040,"date":"2019-04-08T10:13:43","date_gmt":"2019-04-08T08:13:43","guid":{"rendered":"http:\/\/synasc.ro\/2019\/?page_id=2040"},"modified":"2019-04-08T10:14:45","modified_gmt":"2019-04-08T08:14:45","slug":"homotopy-continuation-and-numerical-algebraic-geometry-using-bertini","status":"publish","type":"page","link":"https:\/\/synasc.ro\/2019\/tutorials\/homotopy-continuation-and-numerical-algebraic-geometry-using-bertini\/","title":{"rendered":"Tutorial: Homotopy continuation and numerical algebraic geometry using Bertini"},"content":{"rendered":"<h4 style=\"text-align: center;\"><b><span lang=\"EN-GB\"><span style=\"font-size: large;\"><span lang=\"EN-US\">Bertini Tutorial:<br \/>\nHomotopy continuation and numerical algebraic geometry using Bertini<br \/>\n<\/span><\/span><\/span><\/b><\/h4>\n<p style=\"text-align: center;\"><a href=\"http:\/\/synasc.ro\/2019\/invited-speakers-2\/jonathan-hauenstein\/\">Jonathan Hauenstein<\/a><\/p>\n<p>Abstract: The field of numerical algebraic geometry consists of a collection of numerical methods for computing and manipulating solution sets to systems of polynomial equations.\u00a0 One foundational method in numerical algebraic geometry is homotopy continuation which tracks solutions as a parameter is changed.\u00a0 This tutorial will introduce some basic fundamental ideas associated with homotopy continuation and numerical algebraic geometry which will be demonstrated using the software package Bertini available at\u00a0<a href=\"http:\/\/bertini.nd.edu\/\" target=\"_blank\" rel=\"noopener\" data-saferedirecturl=\"https:\/\/www.google.com\/url?q=http:\/\/bertini.nd.edu&amp;source=gmail&amp;ust=1554794249873000&amp;usg=AFQjCNFDGd8EOizpTVLyqoHMegGZLqefdg\">bertini.nd.edu<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bertini Tutorial: Homotopy continuation and numerical algebraic geometry using Bertini Jonathan Hauenstein Abstract: The field of numerical algebraic geometry consists of a collection of numerical methods for computing and manipulating solution sets to systems of polynomial equations.\u00a0 One foundational method in numerical algebraic geometry is homotopy continuation which tracks solutions as a parameter is changed.\u00a0 [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":1472,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2040","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/pages\/2040","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/comments?post=2040"}],"version-history":[{"count":2,"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/pages\/2040\/revisions"}],"predecessor-version":[{"id":2042,"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/pages\/2040\/revisions\/2042"}],"up":[{"embeddable":true,"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/pages\/1472"}],"wp:attachment":[{"href":"https:\/\/synasc.ro\/2019\/wp-json\/wp\/v2\/media?parent=2040"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}