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- W1917103902 abstract "Hiriart-Urruty and Seeger have posed the problem of finding the maximal possible angle $theta_{max}(mathcal{C}_{n})$ between two copositive matrices of order $n$. They have proved that $theta_{max}(mathcal{C}_{2})=frac{3}{4}pi$ and conjectured that $theta_{max}(mathcal{C}_{n})$ is equal to $frac{3}{4}pi$ for all $n geq 2$. In this note we disprove their conjecture by showing that $lim_{n rightarrow infty}{theta_{max}(mathcal{C}_{n})}=pi$. Our proof uses a construction from algebraic graph theory. We also consider the related problem of finding the maximal angle between a nonnegative matrix and a positive semidefinite matrix of the same order." @default.
- W1917103902 created "2016-06-24" @default.
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- W1917103902 date "2013-07-29" @default.
- W1917103902 modified "2023-09-27" @default.
- W1917103902 title "On the maximum angle between copositive matrices" @default.
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