正交多项式矩阵、矩阵连分式及其padé-逼近  

ORTHOGONAL POLYNOMIALS MATRIX,MATRIX CONTINUED FRACTIONS AND THEIR PADE-APPROXIMATIONS

作　　者：祝精美[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250061

出　　处：《山东工业大学学报》2001年第2期165-168,178,共5页

摘　　要：由于正交多项式矩阵满足三项递推关系 ,而矩阵连分式的第n次渐近分式也满足三项递推关系 ,为此我们构造了一种矩阵连分式 ,证明了此连分式的第n次渐近分式与其padeFor orthogonal polynomials matrix have three recurrence relations,and matrix continued fractions have also so,we construct a matrix continued fractions We prove the relations between the n th convergent of matrix continued fractions and their pade-approximations and series

关 键 词：幂级数 有理函数逼近 正交多项式矩阵 矩阵连分式 

分 类 号：O151.21[理学—数学] O241.5[理学—基础数学]