Perturbation theory for the generalized Bott-Duffin inverse and its applications

被引：15

作者：

Chen, GL

Liu, GM

Xue, YF ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[3] Shandong Normal Univ, Dept Comp Sci, Jinan 250014, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 129卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Bott-Duffin inverse; generalized Bott-Duffin inverse; perturbation; condition number;

D O I：

10.1016/S0096-3003(01)00041-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A perturbation theory for the Bott-Duffin inverse A((L))((+)) of A with respect to a sub space L is developed. The perturbation bound for the solution of the constrained system Ax + y = b, x is an element of L, y is an element of L-perpendicular to is established, where A is an element of M-n(C), a subspace L subset of C-n and b is an element of C-n. Meanwhile this paper shows the generalized Bott-Duffin condition number K-gBD(A) = parallel toAparallel to.parallel toA((L))((+))parallel to to be inininium in the inequality of error analysis. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：145 / 155

页数：11

共 10 条

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