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Structured mapping problems for linearly structured matrices
Journal
Linear Algebra and Its Applications
ISSN
00243795
Date Issued
2014-03-01
Author(s)
Adhikari, Bibhas
Alam, Rafikul
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.
Volume
444
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