Completely positive cones: are they facially exposed?

DOI10.1016/j.laa.2018.08.028zbMath1398.15041OpenAlexW2888047994WikidataQ129340347 ScholiaQ129340347MaRDI QIDQ1791696

Qinghong Zhang

Publication date: 11 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.08.028

zbMATH Keywords

completely positive conescopositive cones

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)

Related Items (4)

On the number of CP factorizations of a completely positive matrix ⋮ Error bounds, facial residual functions and applications to the exponential cone ⋮ Faces of the 5 × 5 completely positive cone ⋮ Amenable Cones Are Particularly Nice

Cites Work

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• Think co(mpletely)positive! Matrix properties, examples and a clustered bibliography on copositive optimization
• The extreme rays of the \(5 \times 5\) copositive cone
• Geometry of the copositive and completely positive cones
• 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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