Differentiable selection of optimal solutions in parametric linear programming

DOI10.1090/S0002-9939-97-03090-6zbMath0861.90117OpenAlexW1496005840MaRDI QIDQ4333026

Dinh The Luc, Pham Huy Dien

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03090-6

zbMATH Keywords

nowhere denseparametric linear optimization

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05)

Related Items (10)

Theoretical and algorithmic advances in multi-parametric programming and control ⋮ Local smooth representations of parametric semiclosed polyhedra with applications to sensitivity in piecewise linear programs ⋮ Sensitivity analysis in multiobjective differential programming ⋮ Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization ⋮ Normability via the convergence of closed and convex sets ⋮ Convergence of asymptotic directions ⋮ Sensitivity analysis in differential programming through the Clarke derivative ⋮ Local smooth representation of solution sets in parametric linear fractional programming problems ⋮ Paratingent derivative applied to the measure of the sensitivity in multiobjective differential programming ⋮ On sensitivity in linear multiobjective programming

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