A conjugate gradient method for unconstrained optimization problems.
A Continuous Conditional Gradient Method
A General Convergence Theorem for the Reduced Gradient Method.
A gradient-type algorithm for the numerical solution of two-player zero-sum differential game problems
A recovered gradient method applied to smooth optimal shape problems
A new postprocessing technique suitable for nonuniform triangulations is employed in the sensitivity analysis of some model optimal shape design problems.
A shape-optimization technique for the capillary surface problem.
A truncated descent HS conjugate gradient method and its global convergence.
Adjoint variable method for the study of combined active and passive magnetic shielding.
Approximation of Optimal Distributed Control Problems Governed by Variational Inequalities.
Conjugate gradient algorithm and fractals.
Conjugate gradient algorithm for optimal control problems with parameters
Gradient observability for diffusion systems
The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm...
Méthode du GRG, méthode de Newton globale et application à la programmation mathématique
Newton's Method for Convex Nonlinear Elliptic Boundary Value Problems.
Nonmonotone strategy for minimization of quadratics with simple constraints
An algorithm for quadratic minimization with simple bounds is introduced, combining, as many well-known methods do, active set strategies and projection steps. The novelty is that here the criterion for acceptance of a projected trial point is weaker than the usual ones, which are based on monotone decrease of the objective function. It is proved that convergence follows as in the monotone case. Numerical experiments with bound-constrained quadratic problems from CUTE collection show that the modified...
Note sur la convergence de méthodes de directions conjuguées
Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control
On convergence of a global search strategy for reverse convex problems.
On gradient simplex methods for linear programs.
On the continuous dependence of trajectories of bilinear systems on controls and its applications