On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors
Author(s) -
E. G. Birgin,
Nataša Krejić,
J. M. Martı́nez
Publication year - 2016
Publication title -
mathematics of computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.95
H-Index - 103
eISSN - 1088-6842
pISSN - 0025-5718
DOI - 10.1090/mcom/3246
Subject(s) - minification , mathematics , convergence (economics) , mathematical optimization , process (computing) , computer science , economics , economic growth , operating system
Inexact Restoration is a well established technique for continuous minimization problems with constraints. Recently, it has been used by Krejić and Mart́ınez for optimization of functions whose evaluation is necessarily inexact and comes from an iterative process. This technique will be generalized in the present paper and it will be applied to stochastic optimization and related problems. New convergence results will be given and numerical results will be presented.
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