Stability of the feasible set for linear inequality systems: A carrier index set approach
type: Item
instance of: scholarly article
title: Stability of the feasible set for linear inequality systems: A carrier index set approach
zbMATH Open document ID: 1015.15011
DOI: 10.1016/S0024-3795(02)00371-3
author: Marco Antonio López Cerdá
author: Juan Parra
author: Maria J. Cánovas
published in: Linear Algebra and its Applications
publication date: 2003-02-05T00:00:00Z
review text: This paper gives a necessary and sufficient condition for lower semicontinuity of the feasible set of a finite system of linear inequalities. A necessary condition is given in the semi-infinite case.
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C34
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 1864770
zbMATH Keywords: stability
zbMATH Keywords: linear inequality systems
zbMATH Keywords: feasible set mapping
zbMATH Keywords: carrier index set
zbMATH Keywords: lower semicontinuity
zbMATH Keywords: semi-infinite
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Q4277838
cites work: Stability and Well-Posedness in Linear Semi-Infinite Programming
cites work: On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
cites work: Recent contributions to linear semi-infinite optimization
cites work: Stability Theory for Linear Inequality Systems
cites work: Stability Theory for Systems of Inequalities. Part I: Linear Systems
cites work: Variational Analysis
cites work: Q4329612
cites work: Q5525616
cites work: Stability in linear programming models: An index set approach
cites work: Stable parametric programming*
full work available at URL: s0024-3795(02)00371-3
OpenAlex ID: W2036801487
description: scientific article; zbMATH DE number 1864770