On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue

Abstract

Consider an $n\times n$ matrix polynomial $P(\lambda )$. An upper bound for a spectral norm distance from $P(\lambda )$ to the set of $n\times n$ matrix polynomials that have a given scalar $\mu \in \mathbb{C}$ as a multiple eigenvalue was recently obtained by Papathanasiou and Psarrakos (2008). This paper concerns a refinement of this result for the case of weakly normal matrix polynomials. A modification method is implemented and its efficiency is verified by an illustrative example.

Cited by in corpus (1)

• On Uniform Connectivity of Algebraic Matrix Sets