Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem

Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem

We present a filter trust region method for nonlinear semi-infinite programming. Based on the discretization technique and motivated by the multiobjective programming, we transform the semi-infinite problem into a finite one. Together with the filter technique, we propose a modified method that avoi...

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Main Authors: Ke Su, Chun Xu, Lele Ren
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/3921592
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spelling doaj-286a4abcbade47099fe1b54d6169296b2020-11-24T23:18:12ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/39215923921592Filter Trust Region Method for Nonlinear Semi-Infinite Programming ProblemKe Su0Chun Xu1Lele Ren2College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaWe present a filter trust region method for nonlinear semi-infinite programming. Based on the discretization technique and motivated by the multiobjective programming, we transform the semi-infinite problem into a finite one. Together with the filter technique, we propose a modified method that avoids the merit function. Compared with the existing methods, our method is more flexible and easier to implement. Under some mild conditions, the convergent properties are proved. Moreover, the numerical results are reported in the end.http://dx.doi.org/10.1155/2018/3921592
collection DOAJ
language English
format Article
sources DOAJ
author Ke Su
Chun Xu
Lele Ren
spellingShingle Ke Su
Chun Xu
Lele Ren
Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
Mathematical Problems in Engineering
author_facet Ke Su
Chun Xu
Lele Ren
author_sort Ke Su
title Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
title_short Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
title_full Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
title_fullStr Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
title_full_unstemmed Filter Trust Region Method for Nonlinear Semi-Infinite Programming Problem
title_sort filter trust region method for nonlinear semi-infinite programming problem
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description We present a filter trust region method for nonlinear semi-infinite programming. Based on the discretization technique and motivated by the multiobjective programming, we transform the semi-infinite problem into a finite one. Together with the filter technique, we propose a modified method that avoids the merit function. Compared with the existing methods, our method is more flexible and easier to implement. Under some mild conditions, the convergent properties are proved. Moreover, the numerical results are reported in the end.
url http://dx.doi.org/10.1155/2018/3921592
work_keys_str_mv AT kesu filtertrustregionmethodfornonlinearsemiinfiniteprogrammingproblem
AT chunxu filtertrustregionmethodfornonlinearsemiinfiniteprogrammingproblem
AT leleren filtertrustregionmethodfornonlinearsemiinfiniteprogrammingproblem
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