Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable
Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie
We develop several methods of realization of scalar product and generalized moment problems. Constructions are made by use of a Hilbertian method or a fixed point method. The constructed solutions are rational fractions and exponentials of polynomials. They are connected to entropy maximization. We give the general form of the maximizing solution. We show how it is deduced from the maximizing solution of the algebraic moment problem.
Méthodes de simulation en programmation dynamique stochastique
Méthodes du second ordre dans les problèmes d'optimisation avec contraintes
Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet
Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet
Consider a sub-riemannian geometry(U,D,g) where U is a neighborhood of 0 in R3, D is a Martinet type distribution identified to ker ω, ω being the 1-form: , q=(x,y,z) and g is a metric on D which can be taken in the normal form: , a=1+yF(q), c=1+G(q), . In a previous article we analyze the flat case: a=c=1; we describe the conjugate and cut loci, the sphere and the wave front. The objectif of this article is to provide a geometric and computational framework to analyze the general case....
Méthodes stochastiques de dualité
Metodi lagrangiani per problemi di controllo ottimo nel discreto
Metodi variazionali globali su vincoli non olonomi
Metodo epsilon e convergenza di Mosco
Metric currents and geometry of Wasserstein spaces
Metric regularity under approximations
Metric space valued functions of bounded variation
Metric subregularity for nonclosed convex multifunctions in normed spaces
In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
Metric subregularity of order q and the solving of inclusions
We consider some metric regularity properties of order q for set-valued mappings and we establish several characterizations of these concepts in terms of Hölder-like properties of the inverses of the mappings considered. In addition, we show that even if these properties are weaker than the classical notions of regularity for set-valued maps, they allow us to solve variational inclusions under mild assumptions.
Métriques sous-riemanniennes de quasi-contact : forme normale et caustique
Metrische Zusammenhänge und Torsion bei einfachen p-Vektoren.
Michael's theorem for Lipschitz cells in o-minimal structures
A version of Michael's theorem for multivalued mappings definable in o-minimal structures with M-Lipschitz cell values (M a common constant) is proven. Uniform equi-LCⁿ property for such families of cells is checked. An example is given showing that the assumption about the common Lipschitz constant cannot be omitted.
Minima in control problems with constraints
This paper is devoted to describing second order conditions in the framework of extremal problems, that is, conditions obtained by reducing the optimal control problem to an abstract one in a suitable Banach (or Hilbert) space. The studied problem includes equality constraints both on the end-points and on the state-control trajectory. The second goal is to give a complete description of necessary and sufficient second order conditions for weak local optimality by describing first the associated...
Minimal Boundaries Enclosing A Given Volume.