| 关于加权Drazin逆扰动的几个结果 |
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| 引用本文： | 徐兆亮[],王国荣[],顾超[].关于加权Drazin逆扰动的几个结果[J].上海师范大学学报(自然科学版),2005,34(2):10-16. |
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| 作者姓名： | 徐兆亮[] 王国荣[] 顾超[] |
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| 作者单位： | 上海海事大学,基础科学部,上海,200135;上海师范大学,数理信息学院,上海,200234;上海立信会计学院,数统部,上海,200106 |
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| 基金项目： | Supported by the Foundation of Shanghai Education Committee 03DZ04． |
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| 摘 要： | 设A是一个m×n矩阵,E是A的扰动矩阵并且B=A+E给出了A和B的加权Drazin逆Ad,W和B
W的新的性质,在一定的条件下,建立了加权Drazin逆Ad,W和Bd,W的Banach-型扰动定理,得到了‖
Bd,W‖和‖ Bd,W-Ad,W ‖/‖Ad,W‖的上下界估计,推广了有关Drazin逆和群逆的文献中的相应结果.
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| 关 键 词： | 扰动 加权Drazin逆 指标 核秩 条件数 |
Some results for the perturbation of the W-weighted Drazin inverse |
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| XU Zhao-liang,WANG Guo-rong,GU Chao.Some results for the perturbation of the W-weighted Drazin inverse[J].Journal of Shanghai Normal University(Natural Sciences),2005,34(2):10-16. |
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| Authors: | XU Zhao-liang WANG Guo-rong GU Chao |
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| Abstract: | Given an m rrrrrrrr nmatrix A and its perturbation matrix E , some new properties of the W-weighted Drazin inverse Ad,w and Bd,w of A and 5 are obtained, where B = A + E . Under certain conditions, the Banach - type perturbation theorem for the W-weighted Drazin inverses of A and B are established, and the perturbation bounds of || Bd,w || and || Bd,w - Ad,w || / || Ad,w || are presented. When A and 6 are square matrices and W is an identity matrix, some known results in the hterature related to the Drazin inverse and the group inverse are reduced by the results in this paper as special cases. |
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| Keywords: | perturbation W-weighted Drazin inverse index core-rank condition number |
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