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.
Multi-step-length gradient iterative method for separable nonlinear least squares problems
Separable nonlinear least squares (SNLLS) problems are critical in various research and application fields, such as image restoration, machine learning, and system identification. Solving such problems presents a challenge due to their nonlinearity. The traditional gradient iterative algorithm often zigzags towards the optimal solution and is sensitive to the initial guesses of unknown parameters. In this paper, we improve the convergence rate of the traditional gradient method by implementing a...
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...