English

Polynomial eigenvalue bounds from companion forms

Rings and Algebras 2017-02-22 v3 Numerical Analysis

Abstract

We show how \ell-ifications, which are companion forms of matrix polynomials, namely, lower order matrix polynomials with the same eigenvalues as a given complex square matrix polynomial, can be used in combination with other recent results to produce eigenvalue bounds.

Keywords

Cite

@article{arxiv.1701.03994,
  title  = {Polynomial eigenvalue bounds from companion forms},
  author = {Aaron Melman},
  journal= {arXiv preprint arXiv:1701.03994},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T17:50:24.351Z