Computing the Quadratic Numerical Range
Numerical Analysis
2023-05-26 v1 Numerical Analysis
Spectral Theory
Abstract
A novel algorithm for the computation of the quadratic numerical range is presented and exemplified yielding much better results in less time compared to the random vector sampling method. Furthermore, a bound on the probability for the random vector sampling method to produce a point exceeding a neighborhood of the expectation value in dependence on norm and size of the matrix is given.
Cite
@article{arxiv.2305.16079,
title = {Computing the Quadratic Numerical Range},
author = {Birgit Jacob and Lukas Vorberg and Christian Wyss},
journal= {arXiv preprint arXiv:2305.16079},
year = {2023}
}