Structured condition numbers for invariant subspaces

Invariant subspaces of structured matrices are sometimes better conditioned with respect to structured perturbations than with respect to general perturbations. Sometimes they are not. This paper proposes an appropriate condition number c(S), for invariant subspaces subject to structured perturbations. Several examples compare c(S) with the unstructured condition number. The examples include block cyclic, Hamiltonian, and orthogonal matrices. This approach extends naturally to structured generalized eigenvalue problems such as palindromic matrix pencils.


Published in:
SIAM Journal On Matrix Analysis And Applications, 28, 2, 326-347
Year:
2006
Publisher:
Society for Industrial and Applied Mathematics
ISSN:
0895-4798
Keywords:
Laboratories:




 Record created 2011-05-05, last modified 2018-03-17

Preprint:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)