| 二元矩阵连分式逼近的对偶展开式（Ⅲ） |
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| 引用本文： | 顾传青,潘宝珍.二元矩阵连分式逼近的对偶展开式（Ⅲ）[J].上海大学学报(自然科学版),1997,3(2):119-124. |
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| 作者姓名： | 顾传青 潘宝珍 |
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| 作者单位： | 上海大学理学院数学教研室 |
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| 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。给出的计算实例说明了本文的结果。
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| 关 键 词： | 矩阵连分式逼近 对偶性 二元矩阵 矩阵函数 |
A Dual Expansion for Bivariate Matrix Valued Continued Fraction Approximation |
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| Gu Chuanqing,Pan Baozheng.A Dual Expansion for Bivariate Matrix Valued Continued Fraction Approximation[J].Journal of Shanghai University(Natural Science),1997,3(2):119-124. |
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| Authors: | Gu Chuanqing Pan Baozheng |
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| Abstract: | 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. |
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| Keywords: | matrix continued fraction approximation duality |
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