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arXiv · 2206.03941

Polynomial Matrix Inequalities within Tame Geometry

Christos Aravanis·Johannes Aspman·Georgios Korpas·Jakub Marecek
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Abstract

Polynomial matrix inequalities can be solved using hierarchies of convex relaxations, pioneered by Henrion and Lassere. In some cases, this might not be practical, and one may need to resort to methods with local convergence guarantees, whose development has been rather ad hoc, so far. In this paper, we explore several alternative approaches to the problem, with non-trivial guarantees available using results from tame geometry.

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Christos Aravanis, Johannes Aspman, Georgios Korpas, Jakub Marecek. 2022-06-08. Polynomial Matrix Inequalities within Tame Geometry. https://arxiv.org/abs/2206.03941

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