English

An Experimental Comparison of Methods for Computing the Numerical Radius

Numerical Analysis 2023-10-10 v1 Numerical Analysis

Abstract

We make an experimental comparison of methods for computing the numerical radius of an n×nn\times n complex matrix, based on two well-known characterizations, the first a nonconvex optimization problem in one real variable and the second a convex optimization problem in n2+1n^{2}+1 real variables. We make comparisons with respect to both accuracy and computation time using publicly available software.

Keywords

Cite

@article{arxiv.2310.04646,
  title  = {An Experimental Comparison of Methods for Computing the Numerical Radius},
  author = {Tim Mitchell and Michael L. Overton},
  journal= {arXiv preprint arXiv:2310.04646},
  year   = {2023}
}
R2 v1 2026-06-28T12:43:08.760Z