On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem
type: Item
instance of: scholarly article
title: On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem
zbMATH Open document ID: 1189.90169
published in: Linear Algebra and its Applications
publication date: 2009-12-18T00:00:00Z
review text: The authors consider several classes of linear transformations for semidefinite linear complementarity problems (SDLCPs) and investigate the equivalence of some matrix properties within the SDLCP setting. Namely, they introduce a new \(P'_2\)-property and show its equivalence to \(P_2\) for Lyapunov, multiplicative, and some classes of Stein transformations. Some relationships for \(P'_2\)-, \(Q\)-, and \(P\)-properties and examples which confirm the sharpness of the results are also given.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 5650025
zbMATH Keywords: linear transformations
zbMATH Keywords: equivalence
author: Chandrashekaran Arumugasamy
author: V. Vetrivel
author: T. Parthasarathy
MaRDI profile type: Publication
full work available at URL: j.laa.2009.07.031
OpenAlex ID: W2034518810
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DOI: 10.1016/J.LAA.2009.07.031
description: scientific article; zbMATH DE number 5650025