关于带w权Drazin逆的表示定理及迭代方法  

THE REPRESENTATION FOR W-WEIGHTED DRAZIN INVERSE AND ITS ITERATIVE METHODS

作　　者：卜凡斌[1] 

机构地区：[1]上海复旦大学数学系

出　　处：《高等学校计算数学学报》2004年第2期97-109,共13页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助项目(19901006)

摘　　要：1引言 为了研究奇异线性系统,Cline和Greville[8]提出了长方阵带W权Drazin逆的概念并讨论了其性质.对带W权Drazin逆的计算引起了广泛的兴趣,主要分为两种方法,To study singular linear system, Cline and Greville[8] proposed the concept of W-weighted Drazin inverse for the rectangular matrices,where the properties were also discussed. The computation for the W-weighted Drazin inverse is of much interest, which is mainly divided into two kinds of methods: direct method[2,4,6] and iterative method[3,5,7,9,12,13]. In this paper, we study the iterative method and successive matrix squaring(SMS) method for the W-weighted Drazin inverse and generalize the main results in [12,13].

关 键 词：迭代 奇异线性系统 带w权Drazin逆 长方阵 

分 类 号：O151.21[理学—数学] O241[理学—基础数学]