A numerical method of matrix spectral factorization
An approximation method in stochastic optimization and control
An optimization problem in heat conduction
Brève communication. Résolution numérique d'inégalités variationnelles
Complementarity systems and approximation of variational inequalities
Convergence analysis of the iterative methods for quasi-complementarity problems.
Convergence uniforme pour les itérés définissant la solution d'une inéquation quasi-variationnelle
Discrete optimal control problems with nonsmooth costs
El contraste de hipótesis compuesta frente a alternativa simple como problema de programación matemática infinita.
Identification of critical curves. II. Discretization and numerical realization
We consider the finite element approximation of the identification problem, where one wishes to identify a curve along which a given solution of the boundary value problem possesses some specific property. We prove the convergence of FE-approximation and give some results of numerical tests.
Integral Representation on BV (...) of ...-Limits of Variational Integrals.
Kačanov-Galerkin method
Limiti di problemi di Dirichlet nonlineari in domini variabili
Si studia il comportamento limite di successioni di problemi variazionali nonlineari con condizioni al contorno di Dirichlet su aperti variabili. I principali strumenti usati in questa ricerca sono le nozioni di -convergenza e di -capacità nonlineare.
Minimizing convex functions by continuous descent methods.
Necessary optimality conditions for discrete systems with state-dependent control region
On a method of optimization
On Optimal Spectral Estimator for Multi-Dimensional Time Series with an Infinite Number of Sample Points.
On perturbations of minimum problems with unbounded controls.
Optimal solutions of multivariate coupling problems
Some necessary and some sufficient conditions are established for the explicit construction and characterization of optimal solutions of multivariate transportation (coupling) problems. The proofs are based on ideas from duality theory and nonconvex optimization theory. Applications are given to multivariate optimal coupling problems w.r.t. minimal -type metrics, where fairly explicit and complete characterizations of optimal transportation plans (couplings) are obtained. The results are of interest...
Prox-regularization and solution of ill-posed elliptic variational inequalities
In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization...