On the number of CP factorizations of a completely positive matrix

DOI10.1080/03081087.2020.1856766OpenAlexW3121875976WikidataQ114100583 ScholiaQ114100583MaRDI QIDQ5887654

Naomi Shaked-Monderer

Publication date: 13 April 2023

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

Full work available at URL: https://arxiv.org/abs/2009.12290

zbMATH Keywords

\(M\)-matrixcopositive matrixcompletely positive matrixCP-rankCP factorizationminimal CP factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

Triangle-free graphs and completely positive matrices

Cites Work

• Copositive matrices with circulant zero support set
• Matrices attaining the minimum semidefinite rank of a chordal graph
• Minimal zeros of copositive matrices
• Copositive optimization -- recent developments and applications
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• On the computational complexity of membership problems for the completely positive cone and its dual
• The structure of completely positive matrices according to their CP-rank and CP-plus-rank
• Geometry of the copositive and completely positive cones
• Completely positive cones: are they facially exposed?
• The extreme rays of the \(6\times 6\) copositive cone
• On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix
• An improved characterisation of the interior of the completely positive cone
• Open problems in the theory of completely positive and copositive matrices
• Remarks on completey positive matrices
• Completely positive matrices associated withM-matrices
• Linear-Time Complete Positivity Detection and Decomposition of Sparse Matrices
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