| 广义逆A(2)T,S的扰动理论 |
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| 引用本文： | 魏益民,王国荣.广义逆A(2)T,S的扰动理论[J].复旦学报(自然科学版),2000,39(5). |
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| 作者姓名： | 魏益民 王国荣 |
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| 基金项目： | 中国科学院资助项目，Youth Science Fou ndation of Universities in Shanghai |
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| 摘 要： | 建立了广义逆A(2)T,S的扰动理论.这个理论是建立在一个有用分解式的基础之上.当(W)条件成立且‖B-A‖很小时,对任意的乘法矩阵范数, 给出了‖ B(2)T,S-A(2)T,S‖的估计.在类似的条件下,也给出了一般的约束线性方程组:Ax=b,x∈T(其中b∈AT,dim T=dim AT)唯一解的扰动界,推广了相应的结论.
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| 关 键 词： | 广义逆A(2)T S 扰动理论 约束线性方程组‖‖(27a) |
Perturbation Theory for the Generalized Inverse A(2)T,S |
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| WEI Yi-min,WANG Guo-rong.Perturbation Theory for the Generalized Inverse A(2)T,S[J].Journal of Fudan University(Natural Science),2000,39(5). |
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| Authors: | WEI Yi-min WANG Guo-rong |
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| Abstract: | A perturbation theory for the generalized inverse A(2) T,S is developed. The theory is based on a useful decomposition of B(2)T,S-A(2)T,S under(W) condition. Norm est imate of ‖B(2)T,S-A(2)T,S‖ are derived for every mult ipli cative norm when (W) condition is satisfied and ‖B-A‖ is small. U nder sim iliar conditions the perturbation bound for the unique solution of the general r estricted system Ax=b(x∈T, b∈AT and dim(T)=dim(AT)) is studied. |
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| Keywords: | generalized inverse A(2)T S perturbation theory restricted linear system |
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