•
•

Keywords

Matrix polynomial, Eigenvalue, Normality, Perturbation, Singular value

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 μ in C as a multiple eigenvalue was obtained by Papathanasiou and Psarrakos (2008). This paper concerns a refinement of this result for the case of weakly normal matrix polynomials. A modified method is developed and its efficiency is verified by two illustrative examples. The proposed methodology can also be applied to general matrix polynomials.

abs_vol31_pp71-86.pdf (34 kB)
Abstract

COinS