二元齐次矩阵Pad-型逼近及误差公式  

Pad-type approximation of bi-variate homogeneous matrix and its error formula

作　　者：潘宝珍[1] 张贻帅[1] 潘鹿鹿[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2012年第1期113-120,共8页Communication on Applied Mathematics and Computation

基　　金：上海市重点学科建设资助项目(J50101)

摘　　要：二元矩阵Pade-型逼近的计算比较复杂.本文受Benouahmane和Cuyt的启发,通过引入一种变量代换,将二元齐次矩阵形式幂级数转化为一元含参数形式的矩阵形式幂级数,并给出了二元齐次矩阵Pade-型逼近的构造性的定义和误差公式的证明.数值实例说明了此方法的有效性.The Pade-type approximation of bi-variate matrix is very difficult. The idea of this paper is partly derived from Benouahmane and Cuyt. By introducing variable replacement, the bi-variate homogeneous matrix formal power series is transformed into uni-variate matrix formal power series with parameters, on the basis of which, the constructive definition of the bi-variate homogeneous matrix PadS-type approximation is given and its error formula is verified. The numerical example shows that the method is effective.

关 键 词：Padé-型逼近 矩阵幂级数 误差公式 二元齐次 

分 类 号：O151.21[理学—数学]