WEIGHTED ACUTE PERTURBATION FOR TWO MATRICES

被引：0

作者：

Xu, Zhaoliang ^{[1
]}

Gu, Chao ^{[2
]}

Feng, Biao ^{[3
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China

[2] Shanghai LiXin Univ Commerce, Dept Math & Stat, Shanghai 201600, Peoples R China

[3] Lanzhou Polytech Coll, Lanzhou 730050, Peoples R China

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2010年 / 35卷 / 1D期

基金：

中国国家自然科学基金;

关键词：

Moore-Penrose inverse; oblique projector; perturbation; singular values; weighted acute perturbation; LEAST-SQUARES PROBLEMS; MOORE-PENROSE INVERSE; SCALED PROJECTIONS; PSEUDOINVERSES; BOUNDS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Using the method of generalized singular values decomposition, some results of the perturbation of the oblique projectors AA(MN)(dagger) and BB(MN)(dagger) are given, where A(MN)(dagger) is the weighted Moore-Penrose inverse of A, and M and N are two Hermitian positive definite matrices. Also, an (M, N)-weighted acute perturbation for the two matrices A and B is introduced and the properties of this kind of perturbation are discussed. Our work can be regarded as an extension of results on the orthogonal projectors AA(dagger) and BB(dagger) and the acute perturbation of the two matrices A and B.

引用

页码：129 / 143

页数：15

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