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Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
(SPRINGER, 2008)
Two Augmented Lagrangian algorithms for solving KKT systems are introduced. The algorithms differ in the way in which penalty parameters are updated. Possibly infeasible accumulation points are characterized. It is proved ...
On Second-order Optimality Conditions In Nonlinear Optimization
(Taylor & Francis LtdAbingdon, 2017)
Derivative-free methods for nonlinear programming with general lower-level constraints
(Soc Brasileira Matematica Aplicada & ComputacionalSao Carlos SpBrasil, 2011)
Qualification conditions in semialgebraic programming∗.
For an arbitrary finite family of semialgebraic/definable functions, we consider the corresponding inequality constraint set and we study qualification conditions for perturbations of this set. In particular we prove that ...
INEXACT RESTORATION METHOD FOR DERIVATIVE-FREE OPTIMIZATION WITH SMOOTH CONSTRAINTS
(Siam PublicationsPhiladelphiaEUA, 2013)
A second-order convergence augmented Lagrangian method using non-quadratic penalty functions
(Springer, 2019-06)
The purpose of the present paper is to study the global convergence of a practical Augmented Lagrangian model algorithm that considers non-quadratic Penalty–Lagrangian functions. We analyze the convergence of the model ...
Qualificações de restrições em otimização não linear com tempo contínuo
(Universidade Estadual Paulista (Unesp), 2018-03-09)
O problema de otimização com tempo contínuo consiste em maximizar um funcional integral, sujeito a restrições de igualdade e desigualdade, onde as funções envolvidas pertencem a um espaço de Banach e variam num certo ...
Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint
(2018)
Some topological and geometric characterizations of strong duality for a non convex optimization problem under a single equality and geometric constraints are established. In particular, a hidden convexity of the conic ...