%0 Journal Article
%T Rational Univariate Representation and Its Application in Optimization Problem<br>有理单变元表示在优化问题上的应用
%A LI Yi
%A <br>李轶
%J 系统科学与数学
%D 2009
%I 
%X Based on rational univariate representation, an algorithm to verify the polynomial positive definiteness on a finite number of points is presented. Also, a pure algebraic method is given to obtain the optimum value of a objective function with zero-dimensional constraints. Compared with SOSTOOLS, experimental results obtained by the algebraic approach is more exact.
%K BOTTEMA<br>优化
%K 正性判定
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=C976F7067C4DF08E0F639BE37B2333B2&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=38B194292C032A66&sid=717CC18E05F2AFA0&eid=4B168891B5E5FB30&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=17