A note on structured pseudospectra of block matrices

被引：2

作者：

Ferro, Richard ^{[1
]}

Virtanen, Jani A. ^{[2
]}

机构：

[1] SUNY Albany, Dept Math, Albany, NY 12222 USA

[2] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 322卷

基金：

英国工程与自然科学研究理事会;

关键词：

Structured pseudospectrum; Structured distance to singularity; Block matrices; Toeplitz matrices; Hankel matrices;

D O I：

10.1016/j.cam.2017.03.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 The Author(s). Published by Elsevier B.V.

引用

页码：18 / 24

页数：7

共 11 条

[1] Structured mapping problems for linearly structured matrices [J].