Article ID Journal Published Year Pages File Type
4603367 Linear Algebra and its Applications 2008 25 Pages PDF
Abstract

For a matrix polynomial P(λ) and a given complex number μ, we introduce a (spectral norm) distance from P(λ) to the matrix polynomials that have μ as an eigenvalue of geometric multiplicity at least κ, and a distance from P(λ) to the matrix polynomials that have μ as a multiple eigenvalue. Then we compute the first distance and obtain bounds for the second one, constructing associated perturbations of P(λ).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory