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Computational Method for Drazin Inverse of Matrix

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2005年06期
Page:
748-750
Research Field:
Publishing date:

Info

Title:
Computational Method for Drazin Inverse of Matrix
Author(s):
YU Yi-sheng
School of Sciences,NUST,Nanjing 210094,China
Keywords:
Drazin inverse of matrix Jordan canonical matrix minimal polynomial
PACS:
O241.6
DOI:
-
Abstract:
Drazin inverse of matrix A can be expressed by polynomial of A. In order to obtain a polynomial of less degree, the structure of Drazin inverse of matrix is analysed by using the theory of Jordan canonical matrix , and a computational method for polynomial d( K) of least degree is given by using coefficients of minimal polynomial of matrix such that d ( A) is Drazin inverse of A. It simplifies the computational method for Drazin inverse of matrix which we have known.

References:

[ 1] 程云鹏. 矩阵论[M] . 西安: 西北工业大学出版社, 2000.
[ 2] 王松桂, 杨振海. 广义逆矩阵及其应用[M] . 北京: 北京工业大学出版社, 1996.

Memo

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Last Update: 2013-03-03