English

Eigenvalue bounds for matrix polynomials in generalized bases

Numerical Analysis 2016-05-31 v2

Abstract

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

Keywords

Cite

@article{arxiv.1602.08673,
  title  = {Eigenvalue bounds for matrix polynomials in generalized bases},
  author = {Aaron Melman},
  journal= {arXiv preprint arXiv:1602.08673},
  year   = {2016}
}

Comments

14 pages, 9 figures

R2 v1 2026-06-22T12:59:18.916Z