置换因子循环矩阵求逆和广义逆的Euclid算法

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Euclid algorithm for finding the inverse and generalized inverse of the permutation factor circulant matrix

JIANG Zhao-lin1,2;LIU San-yang1

(1. School of Science, Xidian Univ., Xi'an 710071, China;
2. Dept. of Mathematics, Linyi Teachers College, Linyi 276005, China)

Received:1900-01-01 Revised:1900-01-01 Online:2004-02-20 Published:2004-02-20

Abstract

Abstract: A new algorithm for finding the inverse of a nonsingular permutation factor circulant matrix is presented by teh Euclid algirytm of polynomial. Extension is made to compute the Moore-Penrose inverse of a singular permutation factor circulant matrix. Finally, numerical examples show the effectiveness of the algorithm.

Key words: permutation factor circulant matrix, inverse, Moore-Penrose inverse, polynomial ring, Euclid algorithm

CLC Number:

O151.21

JIANG Zhao-lin1;2;LIU San-yang1.

Euclid algorithm for finding the inverse and generalized inverse of the permutation factor circulant matrix

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Euclid algorithm for finding the inverse and generalized inverse of the permutation factor circulant matrix

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