| 约束矩阵方程W-加权Drazin逆解的敏感性 |
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| 引用本文： | 孙劼[,] 王国荣[].约束矩阵方程W-加权Drazin逆解的敏感性[J].上海师范大学学报(自然科学版),2006,35(4):7-14. |
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| 作者姓名： | 孙劼[ ] 王国荣[] |
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| 作者单位： | 1. 上海应用技术学院,上海,200235;上海师范大学,数理信息学院,上海,200234
2. 上海师范大学,数理信息学院,上海,200234 |
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| 基金项目： | Supported by NSFC Project Science Foundation of Shanghai Municipal Commission of Eduction Project （ 050Z07,03 DZ04 ）. |
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| 摘 要： | 对于给出了约束矩阵方程WAWXW^～BW^～ = D, R（ X） C R （ AW）^h1 ], N（ X）∪N （W^～B）^k2]的Cramer法则．研究上述约束矩阵方程当方程右端项D有扰动时该方程解的敏感性，并得到了该方程在最坏情况下约束矩阵方程解的敏感性的严格上界．
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| 关 键 词： | 敏感性 W-加权Drazin逆 约束矩阵方程 指标 角 |
| 文章编号： | 1000-5137（2006）04-0007-08 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-10-20 |
The sensitivity of the W-weighted Drazin inverse solution of the restricted matrix equation |
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| SUN Jie,WANG Guo-rong.The sensitivity of the W-weighted Drazin inverse solution of the restricted matrix equation[J].Journal of Shanghai Normal University(Natural Sciences),2006,35(4):7-14. |
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| Authors: | SUN Jie WANG Guo-rong |
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| Institution: | 1. Shanghai Institute of Technology, Shanghai 200235, China; 2. Mathmatics and Sciences College, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | A Cramer rule for the W-weighted Drazin inverse solution of the general restricted matrix equation WAWX(W)B(W) = D,R(X)(U) R(AW)k1], N(X)(U)N((W)B)k2] was given in Appl. Math. Comput. 154(2004)when the elements of the right hand side matrix D of the equation are perturbed, and we obtain a sharp upper bound in the worst case for the sensitivity of the W-weighted Drazin inverse solution of the general restricted matrix equation. |
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| Keywords: | sensitivity W-weighted Drazin inverse restricted matrix index angle |
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