Completely Positive Matrices
By Abraham Berman, Naomi Shaked-Monderer. 2003
177 citations recorded by the source corpus.
Matrix Theoretic Background Positive Semidefinite Matrices Nonnegative Matrices and M-Matrices Schur Complements Graphs Convex Cones The PSD Completion Problem Complete Positivity: Definition and Basic Properties Cones of Completely Positive Matrices Small Matrices Complete Positivity and the Comparison Matrix Completely Positive Graphs Completely Positive Matrices Whose Graphs are Not Completely Positive Square Factorizations Functions of Completely Positive Matrices The CP Completion Problem CP Rank: Definition and Basic Results Completely Positive Matrices of a Given Rank Completely Positive Matrices of a Given Order When is the CP-Rank Equal to the Rank?
Subfields: Computational Theory and Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8a11e344bf0f33a9232788f55d7cd0af74ab2ffb
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In Computational Theory and Mathematics
In Statistical and Nonlinear Physics
Citations in the corpus
- Decompositions of dependence for high-dimensional extremes (2016, background): “It is known for p-dimensional completely positive matrices that the cp-rank is less than p(p+1)/2−4 (Barioli and Berman, 2003).”
- AN IMPROVED CHARACTERISATION OF THE INTERIOR OF THE COMPLETELY POSITIVE CONE (2010, background): “Surveys on copositive and completely positive matrices and their cones are provided in [2, 7, 9].”