Non-facial exposedness of copositive cones over symmetric cones

Mitsuhiro Nishijima; Bruno F. Lourenço

doi:10.1016/j.jmaa.2024.129166

Non-facial exposedness of copositive cones over symmetric cones

Mitsuhiro Nishijima
, Bruno F. Lourenço

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

In this paper, we consider copositive cones over symmetric cones and show that they are never facially exposed when the underlying cone has dimension at least 2. We do so by explicitly exhibiting a non-exposed extreme ray. Our result extends the known fact that the cone of copositive matrices over the nonnegative orthant is not facially exposed in general.

本文言語	English
論文番号	129166
ジャーナル	Journal of Mathematical Analysis and Applications
巻	545
号	2
DOI	https://doi.org/10.1016/j.jmaa.2024.129166
出版ステータス	Published - 2025 5月 15
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

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10.1016/j.jmaa.2024.129166

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引用スタイル

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AB - In this paper, we consider copositive cones over symmetric cones and show that they are never facially exposed when the underlying cone has dimension at least 2. We do so by explicitly exhibiting a non-exposed extreme ray. Our result extends the known fact that the cone of copositive matrices over the nonnegative orthant is not facially exposed in general.

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KW - Facial exposedness

KW - Symmetric cones

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Non-facial exposedness of copositive cones over symmetric cones

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ASJC Scopus subject areas

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