| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599725 | Linear Algebra and its Applications | 2014 | 14 Pages |
Abstract
Given an appropriate class of structured matrices SS, we characterize matrices X and B for which there exists a matrix A∈SA∈S such that AX=BAX=B and determine all matrices in SS mapping X to B . We also determine all matrices in SS 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bibhas Adhikari, Rafikul Alam,