Zero polyhedral cones
type: Item
instance of: scholarly article
title: Zero polyhedral cones
zbMATH Open document ID: 1049.90137
DOI: 10.1016/S0893-9659(03)90024-3
author: D. Massart
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: This short article presents some interesting properties of zero polyhedral cones. The main part of the article is split into two sections. In the first section the main result is presented and proven, namely that the statements \(P^+(A)=\{0\}\), \(P^+(B^k)=\{0\}\) and \(P^+(B)=\{0\}\) are equivalent, where matrix \(B\) is a Fourier-Motzkin elimination of \(A\). In the second section, two algorithms (based on the main result of the article) to check if a polyhedral cone \(P(T)\) is zero are presented.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 90C57
Mathematics Subject Classification ID: 90C27
zbMATH DE Number: 2073712
zbMATH Keywords: polyhedral cone
zbMATH Keywords: Fourier-Motzkin elimination
zbMATH Keywords: hybrid systems
MaRDI profile type: Publication
cites work: Characterization of well-posedness of piecewise-linear systems
cites work: Fourier-Motzkin elimination and its dual
cites work: Q5817857
full work available at URL: s0893-9659(03)90024-3
OpenAlex ID: W2023390665
description: scientific article; zbMATH DE number 2073712