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Combinatorial results on completely positive matrices

✍ Scribed by Abraham Berman; Daniel Hershkowitz


Book ID
107825145
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
581 KB
Volume
95
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Completely positive matrices
✍ Changqing Xu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 178 KB

An n Γ— n real matrix A is called completely positive (CP) if it can be factored as A = B B (" " stands for transpose) where B is an m Γ— n entrywise nonnegative matrix for some integer m. The smallest such number m is called the cprank of A. In this paper we present a necessary and sufficient conditi

Notes on completely positive matrices
✍ Shuhuang Xiang; Shuwen Xiang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 326 KB

Let A be a n Γ— n symmetric matrix and in the closure of inverse M-matrices. Then A can be factored as A = BB r for some nonnegative lower triangular n Γ— n matrix B, and cp-rank A ~< n. If A is a positive semidefinite (0, 1) matrix, then A is completely positive and cp-rank A = rank A; if A is a non

{0,1} Completely positive matrices
✍ Abraham Berman; Changqing Xu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 225 KB