Faces of the 5 × 5 completely positive cone

DOI10.1080/03081087.2019.1586827zbMath1456.15032OpenAlexW2922156432WikidataQ114641265 ScholiaQ114641265MaRDI QIDQ5145084

Qinghong Zhang

Publication date: 19 January 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1586827

zbMATH Keywords

exposed facescompletely positive conescopositive conesfacially exposed conescp factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• The extreme rays of the \(5 \times 5\) copositive cone
• Geometry of the copositive and completely positive cones
• Completely positive cones: are they facially exposed?
• Irreducible elements of the copositive cone
• On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix
• Open problems in the theory of completely positive and copositive matrices

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