节点文献
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
【摘要】 <正> 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,
【Abstract】 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】 W-weighted Drazin inverse;
representation theorem;
index;
iterative method.;
【Key words】 W-weighted Drazin inverse; representation theorem; index; iterative method.;
【Key words】 W-weighted Drazin inverse; representation theorem; index; iterative method.;
【基金】 国家自然科学基金资助项目(19901006)
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,2004年02期
- 【分类号】O151.21
- 【下载频次】42