Completely Positive Matrices 论文

摘要

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?