On perturbations of some constrained subspaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:226

Article; Proceedings Paper

Wei, Musheng¹  Zhang, Jinbing² 

[1] Sci Comp Key Lab Shanghai Univ, Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Yancheng Teachers Coll, Dept Math, Yancheng 224002, Jiangsu, Peoples R China

关键词: Constrained subspace;    Perturbation;    Singular value;   

DOI  :  10.1016/j.cam.2008.05.020

来源: Elsevier

【 摘 要 】

Perturbation bounds of subspaces, such as eigen-spaces, singular subspaces, and canonical subspaces, have been extensively studied in the literature. In this paper, we study perturbations of some constrained subspaces of 1 x 2, 2 x 1, and 2 x 2 block matrices, in which only one of the sub-matrices can be changed. Such problems rise from the least squares-total least squares problem, the constrained least squares problem, and the constrained total least squares problem. (c) 2009 Published by Elsevier B.V.

【 授权许可】

Free