安徽大学学报（自然科学版）2017，Vol.41Issue(1)：37-42,6.DOI:10.3969/j.issn.1000-2162.2017.01.006
双线性函数生成多项式基下的Sylvester型结式矩阵
Sylvester-type resultant matrix for the polynomial basis generated by a bilinear transformation function
摘要
Abstract
The author constructed a class of Sylvester-type resultant matrix for the special polynomial basis generated by a bilinear transformation function,and discussed mainly the connections between the Sylvester-type resultant matrix and generalized Bezoutian under such basis.It turned out that these new properties of their connections also kept the similar forms as the ones for the standard power basis and they could be viewed as the extension of classic results on their connections.关键词
双线性函数/Sylvester型结式矩阵/Bezout矩阵/多项式基/标准幂基Key words
bilinear transformation function/Sylvester-type resultant matrix/Bezout matrix/polynomial basis/standard power basis分类
数理科学引用本文复制引用
吴化璋..双线性函数生成多项式基下的Sylvester型结式矩阵[J].安徽大学学报（自然科学版）,2017,41(1):37-42,6.基金项目
安徽省自然科学基金资助项目(1208085MA02) （1208085MA02）
