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