Structured mapping problems for linearly structured matrices

ISSN
00243795
Date Issued
2014-03-01
Author(s)
Adhikari, Bibhas
Alam, Rafikul
DOI
10.1016/j.laa.2013.11.014
Abstract
Given an appropriate class of structured matrices S, we characterize matrices X and B for which there exists a matrix A ε S such that AX=B and determine all matrices in S mapping X to B. We also determine all matrices in S mapping X to B and having the smallest norm. We use these results to investigate structured backward errors of approximate eigenpairs and approximate invariant subspaces, and structured pseudospectra of structured matrices. © 2013 Elsevier Inc. All rights reserved.
Subjects