摘要
本文借助于矩阵的广义逆变换和分支连分式的递推算法,得到了二元Thiele型矩阵连分式的对偶展开式,并对对偶展开式的逼近性质进行了讨论.两种互为对偶的连分式逼近之间的一个关联性质得到了证明.
In this paper,by means of the generalized inverse for matrixs and the recursive algorithms for branched continued fractions, a dual expansion for bivariate Thiele-type matrix valued continued fractions is obtained. Some approximation properties are discussed . A inner connection between two continued fraction approximation which are dual to each other is proved . Some examples are given to illustrate the results of the paper.
出处
《上海大学学报(自然科学版)》
CAS
CSCD
1997年第2期119-124,共6页
Journal of Shanghai University:Natural Science Edition
基金
国家自然科学基金