A note on structured pseudospectra of block matrices

In this note we consider the question of equivalence of pseudospectra and structured pseudospectra of block matrices. The structures we study are all so called double structures; that is, the blocks of the given matrix are of the same structure as the block matrix. The approach is based on that of n...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2017-10, Vol.322, p.18-24
Main Authors: Ferro, Richard, Virtanen, Jani A.
Format: Article
Language:English
Subjects:
Block matrices
Hankel matrices
Structured distance to singularity
Structured pseudospectrum
Toeplitz matrices
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note we consider the question of equivalence of pseudospectra and structured pseudospectra of block matrices. The structures we study are all so called double structures; that is, the blocks of the given matrix are of the same structure as the block matrix. The approach is based on that of non-block matrices, which are also briefly studied, and the use of distance to singularity. We also list some open problems and conjectures.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2017.03.020