Preservers of completely positive matrix rank

DOI10.1080/03081087.2015.1082960zbMath1368.15026OpenAlexW1750995033MaRDI QIDQ5741203

Leroy B. Beasley, Rajesh Pereira, Preeti Mohindru, Seok-Zun Song

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1082960

zbMATH Keywords

linear preserverscompletely positive matrixCP-rank

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03) Stochastic matrices (15B51) Linear preserver problems (15A86)

Related Items (3)

Preservers of the cp-rank ⋮ STRONG PRESERVERS OF SYMMETRIC ARCTIC RANK OF NONNEGATIVE REAL MATRICES ⋮ Linear mappings preserving the completely positive rank

Cites Work

• Transformations on tensor product spaces
• Transformations on tensor spaces
• Rank preservers of skew-symmetric matrices
• Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
• Linear mappings which are rank-knonincreasing, II
• Rank preservers on spaces of symmetric matrices
• Linear operators on matrices: The invariance of rank-k matrices

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