计算广义逆A_(T,S)^(2)的迭代法  

THE ITERATIVE METHODS FOR COMPUTING THE GENERALIZED INVERSE A_(T,S)^(2)

作　　者：刘桂香[1] 

机构地区：[1]扬州教育学院数学系,扬州225002

出　　处：《高等学校计算数学学报》2006年第1期33-38,共6页Numerical Mathematics A Journal of Chinese Universities

摘　　要：In this paper, we establish two iterative methods for computing generalized inverse AT,S(2), and give necessary and sufficient conditions for iterative convergence to the generalized inverse AT,S(2). Moreover, we investigate a general choice of initial matrix in the iterative methods for computing AT,S(2).In this paper, we establish two iterative methods for computing generalized inverse A^（2）T,S , and give necessary and sufficient conditions for iterative convergence to the generalized inverse A^（2）T,S. Moreover, we investigate a general choice of initial matrix in the iterative methods for computing A^（2）T,S.

关 键 词：迭代法 MOORE-PENROSE逆 计算 广义逆 矩阵A 零空间 一阶 引理 类似 

分 类 号：O241.6[理学—计算数学] O151.21[理学—数学]