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arXiv · 2305.16079

Computing the Quadratic Numerical Range

Birgit Jacob·Lukas Vorberg·Christian Wyss
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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.

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Birgit Jacob, Lukas Vorberg, Christian Wyss. 2023-05-25. Computing the Quadratic Numerical Range. https://arxiv.org/abs/2305.16079

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