Elsevier

Applied Mathematics Letters

Volume 23, Issue 9, September 2010, Pages 1082-1086
Applied Mathematics Letters

A note on the distance bound for pseudospectra of matrix polynomials

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Abstract

Recently, Psarrakos obtained a lower bound, which depends on a real parameter ν, for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it. In this note, we study the best choice of the parameter. As a consequence, the best lower bound among those given by Psarrakos is obtained.

Keywords

Matrix polynomial
ε-pseudospectra
Distance bound

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This work was partly supported by Shandong Province NSF (Y2008A07).