Complete positivity
type: Item
instance of: scholarly article
title: Complete positivity
zbMATH Open document ID: 0651.15019
DOI: 10.1016/0024-3795(88)90237-6
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: A real \(n\times n\) matrix A is called completely positive if it can be decomposed as \(A=BB\) T, where B is a non-negative \(n\times k\) matrix. The author surveys results on the general problem of characterization of such matrices in connection with doubly nonnegative matrices, diagonally dominant matrices, copositive matrices the factorization index, some combinatorial problems and doubly stochastic matrices.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15B51
zbMATH DE Number: 4061423
zbMATH Keywords: completely positive matrix
zbMATH Keywords: doubly nonnegative matrices
zbMATH Keywords: diagonally dominant matrices
zbMATH Keywords: copositive matrices
zbMATH Keywords: factorization index
zbMATH Keywords: doubly stochastic matrices
author: A. Berman
reviewed by: Ali-Akbar Jafarian
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90237-6
OpenAlex ID: W4205494044
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description: scientific article; zbMATH DE number 4061423