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A quasi-Newton strategy for the sSQP method for variational inequality and optimization problems
(Springer, 2013-02)
The quasi-Newton strategy presented in this paper preserves one of the most important features of the stabilized Sequential Quadratic Programming (sSQP) method, the local convergence without constraint qualifications ...
Unbounded Second-Order State-Dependent Moreau's Sweeping Processes in Hilbert Spaces
(Springer, 2016)
In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit ...
Existence of quasi-equilibria on unbounded constraint sets
(Taylor & Francis, 2020)
A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequalities and generalized Nash equilibrium ...
A variational asymmetric phase-field model of quasi-brittle fracture: Energetic solutions and their computation.
(Pergamon-Elsevier Science Ltd, 2020-12)
We derive the variational formulation of a gradient damage model by applying the energetic formulationof rate-independent processes and obtain a regularized formulation of fracture. The model exhibits dif-ferent behaviour ...
Métodos secantes de cambio mínimo para la solución de sistemas de ecuaciones con restricciones
(2019-03)
El principal objetivo de este trabajo es presentar dos nuevos métodos numéricos, basados en estrategias quasi-Newton, que permiten resolver sistemas de ecuaciones no lineales con restricciones y con posibles soluciones ...
Non-smooth and variational analysis of optimization problems and multi-leader-follower games
(Universidad de Chile, 2020)
La presente tesis se enmarca en la teoría de la optimización no suave y trata con problemas
de la teoría de juegos. La tesis está dividida en cuatro partes, de las cuales en la primera
se presenta la introducción, la ...
Crecimiento económico y desigualdades regionales en México: el impacto de la infraestructura
(El Colegio de Sonora, 2003)
On The Local Convergence Of Quasi-newton Methods For Nonlinear Complementarity Problems
(Elsevier Science Publishers B.V., Amsterdam, Netherlands, 1999)
Problemas de equilíbrio e quase-equilíbrio: uma abordagem teórica e numéricaEquililibrium and quasi-equilibrium problems: a theoretical and numerical approach
(Universidade Federal do Rio de JaneiroBrasilInstituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de EngenhariaPrograma de Pós-Graduação em Engenharia de Sistemas e ComputaçãoUFRJ, 2021)
Hessian Riemannian gradient flows in convex programming
(SIAM PUBLICATIONS, 2004)
In view of solving theoretically constrained minimization problems, we investigate the properties of the gradient flows with respect to Hessian Riemannian metrics induced by Legendre functions. The first result characterizes ...