Stability of the feasible set for linear inequality systems: A carrier index set approach

DOI10.1016/S0024-3795(02)00371-3zbMath1015.15011OpenAlexW2036801487MaRDI QIDQ1855408

Juan Parra, Marco A. López, Maria J. Cánovas

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00371-3

zbMATH Keywords

stabilitylower semicontinuitylinear inequality systemssemi-infinitefeasible set mappingcarrier index set

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Linear inequalities of matrices (15A39) Semi-infinite programming (90C34) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (4)

On the equivalence of parametric contexts for linear inequality systems ⋮ Convex SIP problems with finitely representable compact index sets: immobile indices and the properties of the auxiliary NLP problem ⋮ Stability of linear inequality systems in a parametric setting ⋮ Linear semi-infinite programming theory: an updated survey

Cites Work

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• Recent contributions to linear semi-infinite optimization
• On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
• Stability Theory for Systems of Inequalities. Part I: Linear Systems
• Stable parametric programming^*
• Variational Analysis
• Stability and Well-Posedness in Linear Semi-Infinite Programming
• Stability Theory for Linear Inequality Systems
• Stability in linear programming models: An index set approach

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