Recent contributions to linear semi-infinite optimization: an update
MA Goberna, MA López - Annals of Operations Research, 2018 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …
semi-infinite optimization, presents some numerical approaches to this type of problems …
Regularity and conditioning of solution mappings in variational analysis
AL Dontchev, RT Rockafellar - Set-Valued Analysis, 2004 - Springer
Abstract Concepts of conditioning have long been important in numerical work on solving
systems of equations, but in recent years attempts have been made to extend them to …
systems of equations, but in recent years attempts have been made to extend them to …
Robust solutions to multi-objective linear programs with uncertain data
In this paper we examine multi-objective linear programming problems in the face of data
uncertainty both in the objective function and the constraints. First, we derive a formula for …
uncertainty both in the objective function and the constraints. First, we derive a formula for …
Recent contributions to linear semi-infinite optimization
MA Goberna, MA López - 4OR, 2017 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …
semi-infinite optimization, presents some numerical approaches to this type of problems …
Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty
The multiobjective optimization model studied in this paper deals with simultaneous
minimization of finitely many linear functions subject to an arbitrary number of uncertain …
minimization of finitely many linear functions subject to an arbitrary number of uncertain …
Metric regularity of semi-infinite constraint systems
MJ Cánovas, AL Dontchev, MA López… - Mathematical programming, 2005 - Springer
We obtain a formula for the modulus of metric regularity of a mapping defined by a semi-
infinite system of equalities and inequalities. Based on this formula, we prove a theorem of …
infinite system of equalities and inequalities. Based on this formula, we prove a theorem of …
[图书][B] Post-optimal analysis in linear semi-infinite optimization
MA Goberna, MA López - 2014 - Springer
Linear semi-infinite optimization (LSIO) deals with linear optimization problems in which
either the dimension of the decision space or the number of constraints (but not both) is …
either the dimension of the decision space or the number of constraints (but not both) is …
Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs
This paper deals with uncertain multi-objective convex programming problems, where the
data of the objective function or the constraints or both are allowed to be uncertain within …
data of the objective function or the constraints or both are allowed to be uncertain within …
Robust and continuous metric subregularity for linear inequality systems
This paper introduces two new variational properties, robust and continuous metric
subregularity, for finite linear inequality systems under data perturbations. The motivation of …
subregularity, for finite linear inequality systems under data perturbations. The motivation of …
Coderivative calculus and metric regularity for constraint and variational systems
This paper provides new developments in generalized differentiation theory of variational
analysis with their applications to metric regularity of parameterized constraint and …
analysis with their applications to metric regularity of parameterized constraint and …