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arXiv · 2311.01629

On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices

Shmuel Friedland
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Abstract

We give a semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices. We show that the computation of the numerical radius and its dual norm within $\varepsilon$ precision are polynomially time computable in the data and $|\log \varepsilon |$ using the short step, primal interior point method.

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Shmuel Friedland. 2023-11-02. On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices. https://arxiv.org/abs/2311.01629

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