Stability in linear optimization under perturbations of the left-hand side coefficients

DOI10.1007/s11228-015-0333-8zbMath1330.49023OpenAlexW844529111MaRDI QIDQ904313

Miguel Angel Goberna, Marco A. López, Aris Daniilidis, Roberto Lucchetti

Publication date: 13 January 2016

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11311/1022008

zbMATH Keywords

stabilityperturbationslinear optimizationsemi-infinite optimization

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Linear inequalities of matrices (15A39) Semi-infinite programming (90C34)

Related Items (8)

Stability of weakly Pareto-Nash equilibria and Pareto-Nash equilibria for multiobjective population games ⋮ Stability of the duality gap in linear optimization ⋮ Recent contributions to linear semi-infinite optimization ⋮ Miguel A. Goberna: ``The challenge was to bring Spanish research in mathematics to normality ⋮ Marco A. López, a pioneer of continuous optimization in Spain ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Selected applications of linear semi-infinite systems theory ⋮ Lipschitz lower semicontinuity moduli for linear inequality systems

Cites Work

• Convexity and well-posed problems
• Unicity results for general linear semi-infinite optimization problems using a new concept of active constraints
• Lower semicontinuity of the feasible set mapping of linear systems relative to their domains
• Metric regularity of semi-infinite constraint systems
• Post-Optimal Analysis in Linear Semi-Infinite Optimization
• On the Stability of the Feasible Set in Optimization Problems
• Parametric semi-infinite linear programming I. continuity of the feasible set and of the optimal value
• Necessary and sufficient conditions for global lower semicontinuity in linear semi-infinite optimization^*
• Convex Analysis
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