On the convergence of modified relaxation methods for extremum problems
On the convergence rate of regularization methods for ill-posed extremal problems
On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers
On the general minimax theorem
On the implicit programming approach in a class of mathematical programs with equilibrium constraints
On the iterative process
On the numerical solution of bound constrained optimization problems
On the optimum rational function connected with the ADI-method
On the rate of convergence of sequential unconstrained minimization techniques
On the Rate of Superlinear Convergence of a Class of Variable Metric Methods.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part II. Applications.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part I. Theory.
On the Solution of Nonlinear Inequalities in a Finite Number of Iterations.
Optimality conditions for a class of mathematical programs with equilibrium constraints: strongly regular case
The paper deals with mathematical programs, where parameter-dependent nonlinear complementarity problems arise as side constraints. Using the generalized differential calculus for nonsmooth and set-valued mappings due to B. Mordukhovich, we compute the so-called coderivative of the map assigning the parameter the (set of) solutions to the respective complementarity problem. This enables, in particular, to derive useful 1st-order necessary optimality conditions, provided the complementarity problem...
Optimality conditions for an interval-valued vector problem
The present article considers a nonsmooth interval-valued vector optimization problem with inequality constraints. We first figure out Fritz John and Karush-Kuhn-Tucker type necessary optimality conditions for the interval-valued problem designed in the paper under quasidifferentiable -convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.
Optimally Conditioned Vandermonde Matrices.
Optimisation de procédés chimiques par une méthode de gradient réduit. Partie II. Exemples d'illustration. Comparaison avec d'autres méthodes
Optimisation de procédés chimiques par une méthode de gradient réduit partie I. Présentation de l'algorithme
Optimisation impossible
Optimization of dynamical systems