矩阵Drazin逆的一种算法

Computational Method for Drazin Inverse of Matrix

矩阵A的Drazin逆可表为A的多项式。为降低多项式的次数,利用Jordan标准形理论分析了矩阵Drazin逆的结构,再由矩阵最小多项式的系数,给出了一个最低次多项式d(A)的算法,使d(A)为的Drazin的逆。该算法简化了已有的矩阵Drazin逆算法。

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 （ λ ） of least dega＇ee 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.