English

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

Numerical Analysis 2014-01-03 v1

Abstract

This paper concerns the bounds for spectral norm distance from a normal matrix polynomial P(λ)P(\lambda) to the set of matrix polynomials that have μ\mu as a multiple eigenvalue. Also construction of associated perturbations of P(λ)P(\lambda) is considered.

Keywords

Cite

@article{arxiv.1401.0485,
  title  = {On the distance from a normal matrix polynomial to the set of matrix polynomials with a prescribed multiple eigenvalue},
  author = {Esmaeil Kokabifar and Ghasem Barid Loghmani},
  journal= {arXiv preprint arXiv:1401.0485},
  year   = {2014}
}