Pré-Publication, Document De Travail Année : 2024

The maximal angle between 3 × 3 copositive matrices

Résumé

In 2010, Hiriart-Urruty and Seeger posed the problem of finding the maximal possible angle θn between two copositive matrices of order n. They proved that θ2 = 3π/4. In this paper, we study the maximal angle between two copositive matrices of order 3. We show that θ3 = 3π/4 and give all possible pairs of matrices achieving this maximal angle. The proof is based on case analysis and uses optimization and basic linear algebra techniques.

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hal-04870163 , version 1 (07-01-2025)

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  • HAL Id : hal-04870163 , version 1

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Daniel Gourion. The maximal angle between 3 × 3 copositive matrices. 2024. ⟨hal-04870163⟩
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