AbstractAn n×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×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 condition for any entrywise nonnegative and positive semidefinite matrix to be CP. We also present an expression for the cprank of any CP matrix
AbstractJ.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, th...
AbstractIn this paper, we discuss the complete positivity of n×n,n⩾5, house matrices, i.e., doubly n...
AbstractLet Φk be the maximal cp-rank of all rank k completely positive matrices. We prove that Φk=k...
AbstractLet A be a real symmetric n × n matrix of rank k, and suppose that A = BB′ for some real n ×...
A symmetric positive semi-definite matrix A is called completely positive if there exists a matrix B...
An n× n matrix X is called completely positive semidefinite (cpsd) if there exist d× d Hermitian pos...
summary:A symmetric positive semi-definite matrix $A$ is called completely positive if there exists ...
AbstractJ.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, th...
AbstractAn n×m real matrix A is said to be totally positive (strictly totally positive) if every min...
AbstractLet Φk be the maximal cp-rank of all rank k completely positive matrices. We prove that Φk=k...
[[abstract]]J.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4...
We study the topological properties of the cp-rank operator $\mathrm{cp}(A)$ and the related cp-plus...
AbstractLet S be a subset of the set of real numbers R. A is called S-factorizable if it can be fact...
A matrix of the form A = BBT where B is nonnegative is called completely positive (CP). Berman and X...
We study the topological properties of the cp-rank operator $\mathrm{cp}(A)$ and the related cp-plus...
AbstractJ.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, th...
AbstractIn this paper, we discuss the complete positivity of n×n,n⩾5, house matrices, i.e., doubly n...
AbstractLet Φk be the maximal cp-rank of all rank k completely positive matrices. We prove that Φk=k...
AbstractLet A be a real symmetric n × n matrix of rank k, and suppose that A = BB′ for some real n ×...
A symmetric positive semi-definite matrix A is called completely positive if there exists a matrix B...
An n× n matrix X is called completely positive semidefinite (cpsd) if there exist d× d Hermitian pos...
summary:A symmetric positive semi-definite matrix $A$ is called completely positive if there exists ...
AbstractJ.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, th...
AbstractAn n×m real matrix A is said to be totally positive (strictly totally positive) if every min...
AbstractLet Φk be the maximal cp-rank of all rank k completely positive matrices. We prove that Φk=k...
[[abstract]]J.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4...
We study the topological properties of the cp-rank operator $\mathrm{cp}(A)$ and the related cp-plus...
AbstractLet S be a subset of the set of real numbers R. A is called S-factorizable if it can be fact...
A matrix of the form A = BBT where B is nonnegative is called completely positive (CP). Berman and X...
We study the topological properties of the cp-rank operator $\mathrm{cp}(A)$ and the related cp-plus...
AbstractJ.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, th...
AbstractIn this paper, we discuss the complete positivity of n×n,n⩾5, house matrices, i.e., doubly n...
AbstractLet Φk be the maximal cp-rank of all rank k completely positive matrices. We prove that Φk=k...
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