Generalized multivariate rectangular matrix Padé-type approximants and Padé approximants

摘要：

A kind of multivariate matrix Padé-type approximants is studied by the similar ways to those of Brezinski and Kida in scalar cases. With an arbitrary monic bivariate scalar polynomial from the triangular form chosen as the generating one of the approximant, several typical important properties are discussed and the connection between generalized bivariate rectangular matrix Padé-type approximants and Padé approximants is studied. The arguments given in detail in two variables can be extended directly to the case of d variables (d＞2).

关键词： Multivariate Padé approximant Generalized rectangular matrix Padé-type approximant Generating polynomial Covariance

作者: Chengde Zheng Zhibin Li

作者单位: Department of Mathematics, Dalian Jiaotong University Dalian, Liaoning 116028, P.R.China

会议类型: 国际会议

会议名称: 2006 International Symposium on Distributed Computing and Applications to Business,Engineering and Science(2006年国际电子、工程及科学领域的分布式计算应用学术研讨会)

会议地点: 杭州

会议语种:英文

页码: 7-12

在线出版日期: 2006-10-12（万方平台首次上网日期，不代表论文的发表时间）