| 加W权Drazin逆显式表达式及其计算 |
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| 引用本文： | 顾超[,] 王国荣[].加W权Drazin逆显式表达式及其计算[J].上海师范大学学报(自然科学版),2006,35(4):15-19. |
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| 作者姓名： | 顾超[ ] 王国荣[] |
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| 作者单位： | 1. 上海立信会计学院,数学与统计系,上海,201600;上海师范大学,数理信息学院,上海,200234
2. 上海立信会计学院,数学与统计系,上海,201600 |
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| 基金项目： | Supported by Shanghai LiXin University of Commence 05YG04. |
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| 摘 要： | 给出了几个加权Drazin逆的显式表达式．通过这些表达式可以减少计算量．同时，通过一个秩方程，推导出求加权Drazin逆的一个计算方法．
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| 关 键 词： | 加权Drazin逆 指标 秩 加边矩阵 |
| 文章编号： | 1000-5137（2006）04-0015-05 |
| 收稿时间： | 2006-03-19 |
| 修稿时间： | 2006-03-19 |
Explicit representations and computation of W- weighted Drazin inverse |
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| GU Chao,WANG Guo-rong.Explicit representations and computation of W- weighted Drazin inverse[J].Journal of Shanghai Normal University(Natural Sciences),2006,35(4):15-19. |
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| Authors: | GU Chao WANG Guo-rong |
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| Institution: | 1. Department of Mathematics and Statistics, Shanghai LiXin University of Commerce, Shanghai 201600, China; 2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | In this paper, we establish some new explicit representations of the W -weighted Drazin inverse Ad.w in terms of regular inverse. By these new representations we can reduce the cost on computation. Also, we consider a rank equation and derive a method for computing W- weighted Drazin inverse. |
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| Keywords: | W- weighted Drazin inverse index rank bordered matrix |
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