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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Convergence detection for optimization algorithms: Approximate-KKT stopping criterion when Lagrange multipliers are not available

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Author(s):
Haeser, Gabriel [1] ; de Melo, Vinicius V. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, SP - Brazil
[2] Univ Fed Sao Paulo, Inst Sci & Technol, Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: OPERATIONS RESEARCH LETTERS; v. 43, n. 5, p. 484-488, SEP 2015.
Web of Science Citations: 3
Abstract

In this paper we investigate how to efficiently apply Approximate-Karush-Kuhn-Tucker proximity measures as stopping criteria for optimization algorithms that do not generate approximations to Lagrange multipliers. We prove that the KKT error measurement tends to zero when approaching a solution and we develop a simple model to compute the KKT error measure requiting only the solution of a non-negative linear least squares problem. Our numerical experiments on a Genetic Algorithm show the efficiency of the strategy. (C) 2015 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/19720-5 - Optimality conditions and inexact restoration
Grantee:Gabriel Haeser
Support Opportunities: Research Grants - Young Investigators Grants