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基于广义逆的矩阵Pad■逼近 被引量:11

A MATRIX PADE APPROXIMANTS BASED ON GENERALIZED INVERSE
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摘要 In this paper, a new matrix pade approximants which is based on generalized inverse is obtained. It is different from original matrix pade approximants in that it need not use multiplication of matrixces in its constructive process, hence, lefthanded pade approximants is same as right-handed ones in the cases. Generalized inverse matrix pade approximants can be computed by two methods: (i) the determinantal formula for denoninator polynomials; (ii) matrix -algorithm. The results in the paper are verified by some numerical examples. In this paper, a new matrix pade approximants which is based on generalized inverse is obtained. It is different from original matrix pade approximants in that it need not use multiplication of matrixces in its constructive process, hence, lefthanded pade approximants is same as right-handed ones in the cases. Generalized inverse matrix pade approximants can be computed by two methods: (i) the determinantal formula for denoninator polynomials; (ii) matrix -algorithm. The results in the paper are verified by some numerical examples.
作者 顾传青
机构地区 上海大学理学院
出处 《计算数学》 CSCD 北大核心 1997年第1期19-29,共11页 Mathematica Numerica Sinica
基金 国家自然科学基金
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