Completely positive matrices over Boolean algebras and their CP-rank

Author:

Mohindru Preeti

Abstract

AbstractDrew, Johnson and Loewy conjectured that for n ≥ 4, the CP-rank of every n × n completely positive real matrix is at most [n

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference10 articles.

1. andW On the CP - rank and minimal CP factorizations of a completely positive matrix SIAM Matrix No;Monderer;Anal Appl,2013

2. Factorization of completely positive matrices;Markham;Proc Cambridge Philos Soc,1971

3. Square triangular factorizations of completely positivematrices IndustrialMathematics;Lau;Soc,1978

4. A fundamental theorem of homomorphisms for semirings;Allen;Proc Amer Math Soc,1969

5. Three notions of tropical rank for symmetric matrices;Cartwright;Combinatorica,2012

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cholesky decomposition of matrices over commutative semirings;Linear and Multilinear Algebra;2018-10-16

2. Bounds for the Completely Positive Rank of a Symmetric Matrix over a Tropical Semiring;The Electronic Journal of Linear Algebra;2018-02-21

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