A note on upper bounds on the cp-rank

DOI10.1016/j.laa.2009.04.015zbMath1180.15028OpenAlexW1970270635MaRDI QIDQ1039748

Naomi Shaked-Monderer

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.04.015

zbMATH Keywords

Hermitian matrixcompletely positive matrixcp-rank

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

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A polynomial-time algorithm for computing low CP-rank decompositions ⋮ New results on the cp-rank and related properties of co(mpletely )positive matrices ⋮ Computing symmetric nonnegative rank factorizations ⋮ Completely positive matrices: real, rational, and integral ⋮ Building a completely positive factorization ⋮ Factorization of cp-rank-3 completely positive matrices

Cites Work

• Nonnegative factorization of completely positive matrices
• The maximal cp-rank of rank \(k\) completely positive matrices
• CP rank of completely positive matrices of order 5
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