arXiv Analytics

Sign in

arXiv:1207.1776 [math.NA]AbstractReferencesReviewsResources

Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces

Fapeng Du, Yifeng Xue

Published 2012-07-07Version 1

In this paper, the perturbation problems of $A_{T,S}^{(2)}$ are considered. By virtue of the gap between subspaces, we derive the conditions that make the perturbation of $A_{T,S}^{(2)}$ is stable when $T,S$ and $A$ have suitable perturbations. At the same time, the explicit formulas for perturbation of $A_{T,S}^{(2)}$ and new results on perturbation bounds are obtained.

Comments: 13 pages, Electronic Journal of Linear Algebra (accepted)
Categories: math.NA, math.SP
Subjects: 15A09, 47A55
Related articles: Most relevant | Search more
arXiv:1208.3518 [math.NA] (Published 2012-08-17)
Perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{p_i} A_i = Q
arXiv:1209.1767 [math.NA] (Published 2012-09-09, updated 2012-09-19)
Perturbation analysis of $A_{T,S}^{(2)}$ on Hilbert spaces
arXiv:1208.3672 [math.NA] (Published 2012-08-17)
Solutions and perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{-1} A_i = Q

Links

Toolbox