Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60127
Type: Artigo
Title: Inexact restoration method for derivative-free optimization with smooth constraints
Author: Bueno, L. F.
Friedlander, A.
Martinez, J. M.
Sobral, F. N. C.
Abstract: A new method is introduced for solving constrained optimization problems in which the derivatives of the constraints are available but the derivatives of the objective function are not. The method is based on the inexact restoration framework, by means of which each iteration is divided in two phases. In the first phase one considers only the constraints, in order to improve feasibility. In the second phase one minimizes a suitable objective function subject to a linear approximation of the constraints. The second phase must be solved using derivative-free methods. An algorithm introduced recently by Kolda, Lewis, and Torczon for linearly constrained derivative-free optimization is employed for this purpose. Under usual assumptions, convergence to stationary points is proved. A computer implementation is described and numerical experiments are presented.
A new method is introduced for solving constrained optimization problems in which the derivatives of the constraints are available but the derivatives of the objective function are not. The method is based on the inexact restoration framework, by means of
Subject: Métodos de restauração inexata
Otimização sem derivadas
Convergência global
Experimentos numéricos
Country: Estados Unidos
Editor: Society for Industrial and Applied Mathematics
Citation: Siam Journal On Optimization. Siam Publications, v. 23, n. 2, n. 1189, n. 1213, 2013.
Rights: aberto
Identifier DOI: 10.1137/110856253
Address: https://epubs.siam.org/doi/abs/10.1137/110856253
Date Issue: 2013
Appears in Collections:IMECC - Artigos e Outros Documentos

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