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Completely positive house matrices

โœ Scribed by Abraham Berman; Dafna Shasha


Book ID
113771991
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
230 KB
Volume
436
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Completely positive matrices
โœ Changqing Xu ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

An n ร— 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 ร— 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

{0,1} Completely positive matrices
โœ Abraham Berman; Changqing Xu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB
Notes on completely positive matrices
โœ Shuhuang Xiang; Shuwen Xiang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

Let A be a n ร— 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 ร— 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