Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643103 | Journal of Computational and Applied Mathematics | 2006 | 18 Pages |
Abstract
Pseudospectra and structured pseudospectra have been investigated widely. In this paper, for the matrix spectral norm we give a new equivalent definition of structured pseudospectra of a matrix triplet (A,B,C)(A,B,C) via the so-called restricted singular value decomposition (RSVD). According to this definition we provide a solution of structured Wilkinson's problem, which concerns structured sensitivity of eigenvalues of square matrices. Several examples are given to illustrate our results. Also, we extend the new definition of structured pseudospectra to polynomial eigenvalue problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kui Du, Yimin Wei,