References
- Uderzo A. On the quantitative solution stability of parameterized set-valued inclusions. Set-Valued Var Anal. 2021;29(2):425–451.
- Cánovas MJ, López MA, Parra J, et al. Calmness of the feasible set mapping for linear inequality systems. Set-Valued Var Anal. 2014;22(2):375–389.
- Camacho J, Cánovas MJ, Parra J. From calmness to Hoffman constants for linear semi-infinite inequality systems. Available from: https://arxiv.org/pdf/2107.10000v2.pdf
- Dontchev AL, Rockafellar RT. Implicit functions and solution mappings: a view from variational analysis. New York: Springer; 2009.
- Klatte D, Kummer B. Nonsmooth equations in optimization: regularity, calculus, methods and applications. Dordrecht: Kluwer Academic; 2002. (Nonconvex optimization and its applications; vol. 60).
- Mordukhovich BS. Variational analysis and generalized differentiation, I: basic theory. Berlin: Springer; 2006.
- Rockafellar RT, Wets RJ-B. Variational analysis. Berlin: Springer; 1998.
- Goberna MA, López MA. Linear semi-infinite optimization. Chichester: Wiley; 1998.
- Gass S, Saaty T. Parametric objective function (part 2)-generalization. J Oper Res Soc Am. 1955;3:395–401.
- Saaty T, Gass S. Parametric objective function (part 1). J Oper Res Soc Am. 1954;2:316–319.
- Robinson SM. Some continuity properties of polyhedral multifunctions. Math Progr Study. 1981;14:206–214.
- Klatte D. Lipschitz continuity of infima and optimal solutions in parametric optimization: the polyhedral case. In: Guddat J, Jongen HTh, Kummer B, et al., editors. Parametric optimization and related topics. Berlin: Akademie; 1987. p. 229–248.
- Dontchev A, Zolezzi T. Well-posed optimization problems. Berlin: Springer; 1993. (Lecture Notes in Mathematics; vol. 1543.
- Azé D, Corvellec J-N. On the sensitivity analysis of Hoffman constants for systems of linear inequalities. SIAM J Optim. 2002;12(4):913–927.
- Hoffman AJ. On approximate solutions of systems of linear inequalities. J Res Natl Bur Stand. 1952;49(4):263–265.
- Klatte D, Thiere G. Error bounds for solutions of linear equations and inequalities. Z Oper Res. 1995;41:191–214.
- Peña J, Vera JC, Zuluaga LF. New characterizations of Hoffman constants for systems of linear constraints. Math Program. 2021;187(1–2):79–109.
- Zălinescu C. Sharp estimates for Hoffman's constant for systems of linear inequalities and equalities. SIAM J Optim. 2003;14(2):517–533.
- Li W. Sharp Lipschitz constants for basic optimal solutions and basic feasible solutions of linear programs. SIAM J Control Optim. 1994;32(1):140–153.
- Gisbert MJ, Canovas MJ, Parra J, et al. Calmness of the optimal value in linear programming. SIAM J Optim. 2018;28(3):2201–2221.
- Cánovas MJ, Henrion R, López MA, et al. Outer limit of subdifferentials and calmness moduli in linear and nonlinear programming. J Optim Theory Appl. 2016;169(3):925–952.
- Bank B, Guddat J, Klatte D, et al. Non-linear parametric optimization. Berlin: Akademie; 1982 and Birkhäuser: Basel; 1983.