Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/353390
Type: Artigo
Title: A flexible inexact-restoration method for constrained optimization
Author: Bueno, L. F.
Haeser, G.
Martinez, J. M.
Abstract: We introduce a new flexible inexact-restoration algorithm for constrained optimization problems. In inexact-restoration methods, each iteration has two phases. The first phase aims at improving feasibility and the second phase aims to minimize a suitable objective function. In the second phase, we also impose bounded deterioration of the feasibility, obtained in the first phase. Here, we combine the basic ideas of the Fischer-Friedlander approach for inexact-restoration with the use of approximations of the Lagrange multipliers. We present a new option to obtain a range of search directions in the optimization phase, and we employ the sharp Lagrangian as merit function. Furthermore, we introduce a flexible way to handle sufficient decrease requirements and an efficient way to deal with the penalty parameter. Global convergence of the new inexact-restoration method to KKT points is proved under weak constraint qualifications
Subject: Programação não-linear
Métodos de restauração inexata
Multiplicadores de Lagrange
Country: Estados Unidos
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s10957-014-0572-0
Address: https://link.springer.com/article/10.1007/s10957-014-0572-0
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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