María Josefa Cánovas (Miguel Hernández University of Elche), N. Dinh (International University of Vietnam), D. H. Long (Tien Giang University) and Juan Parra (Miguel Hernández University of Elche).
Abstract. We deal with the feasible set mapping of linear inequality systems under right-hand side perturbations. From a version of Farkas lemma for difference of convex functions, we derive an operative relationship between calmness constants for this mapping at a nominal solution and associated neighborhoods where such constants work. We also provide illustrative examples where this approach allows us to compute the sharp Hoffman constant at the nominal system.
Keywords. Calmness; Hoffman constants; Local error bounds; Global error bounds; Feasible set mapping; Linear programming; Variational analysis