arXiv
Open Access
2025
The maximal angle between $3 \times 3$ copositive matrices
Daniel Gourion
Abstrak
In 2010, Hiriart-Urruty and Seeger posed the problem of finding the maximal possible angle $θ_n$ between two copositive matrices of order $n$. They proved that $θ_2=\frac{3}{4}π$. In this paper, we study the maximal angle between two copositive matrices of order 3. We show that $θ_3=\frac{3}{4}π$ 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.
Topik & Kata Kunci
Penulis (1)
D
Daniel Gourion
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓