Structure properties of W matrices
type: Item
instance of: scholarly article
title: Structure properties of W matrices
zbMATH Open document ID: 0659.15026
DOI: 10.1016/0024-3795(88)90061-4
author: Melvyn W. Jeter
author: Wallace C. Pye
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: Let M be a real \(n\times n\) matrix. For any subset \(\alpha\) \(\subseteq \{1,...,n\}\), let M(\(\alpha)\) denote the matrix obtained from the identity matrix by replacing the columns indexed by the elements of \(\alpha\) by the corresponding columns of -M. Let \({\hat \alpha}\) denote the complement of \(\alpha\) in \(\{\) 1,...,n\(\}\). Then the authors call M a W-matrix if the cones generated by the columns of M(\(\alpha)\) and M(\({\hat \alpha}\)), respectively, intersect in 0 for every subset \(\alpha\) [cf. the authors, ibid. 87, 243-256 (1987; Zbl 0611.90093)]. The present paper deals with further properties of these matrices.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 4077456
zbMATH Keywords: W-matrix
zbMATH Keywords: cones
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90061-4
OpenAlex ID: W1967208150
cites work: Emilie Haynsworth, 1916-1985 (Obituary)
cites work: On the uniqueness of solutions to linear complementarity problems
cites work: Q5564916
cites work: The Linear Complementarity Problem
cites work: The linear complementarity problem and a subclass of fully semimonotone matrices
cites work: The complementarity problem
cites work: Q5608986
cites work: Q5635264
cites work: Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems
cites work: Q5517736
cites work: Q4101610
cites work: Q5183648
cites work: A Partition Theorem for Euclidean n-Space
description: scientific article; zbMATH DE number 4077456