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Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search

Nonlinear conjugate gradient (CG) methods are the most important method for solving large-scale unconstrained optimization problems. Many studies and modifications have been conducted recently to improve this method. In this paper, a new class of conjugate gradient coefficients (Bk) with a ne...

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Main Author: Mustafa, Mamat
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
QA Mathematics
QA75 Electronic computers. Computer science
Online Access:http://eprints.unisza.edu.my/236/1/FH03-FIK-17-07765.jpg
http://eprints.unisza.edu.my/236/
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spelling my-unisza-ir.2362020-10-20T04:05:38Z http://eprints.unisza.edu.my/236/ Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search Mustafa, Mamat QA Mathematics QA75 Electronic computers. Computer science Nonlinear conjugate gradient (CG) methods are the most important method for solving large-scale unconstrained optimization problems. Many studies and modifications have been conducted recently to improve this method. In this paper, a new class of conjugate gradient coefficients (Bk) with a new parameter m=-gk-/-gk-1- that possess global convergence properties is presented. The global convergence and sufficient decent property result is established using inexact line searches to determine the (ak>O) is a step size of CG methods. Numerical result shows that the new formula is superior and more efficient when compared to other CG coefficients. 2014 Conference or Workshop Item NonPeerReviewed image en http://eprints.unisza.edu.my/236/1/FH03-FIK-17-07765.jpg Mustafa, Mamat (2014) Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search. In: International Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014, 28-30 May 2014, Penang; Malaysia.
institution Universiti Sultan Zainal Abidin
building UNISZA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sultan Zainal Abidin
content_source UNISZA Institutional Repository
url_provider https://eprints.unisza.edu.my/
language English
topic QA Mathematics
QA75 Electronic computers. Computer science
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Mustafa, Mamat
Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
description Nonlinear conjugate gradient (CG) methods are the most important method for solving large-scale unconstrained optimization problems. Many studies and modifications have been conducted recently to improve this method. In this paper, a new class of conjugate gradient coefficients (Bk) with a new parameter m=-gk-/-gk-1- that possess global convergence properties is presented. The global convergence and sufficient decent property result is established using inexact line searches to determine the (ak>O) is a step size of CG methods. Numerical result shows that the new formula is superior and more efficient when compared to other CG coefficients.
format Conference or Workshop Item
author Mustafa, Mamat
author_facet Mustafa, Mamat
author_sort Mustafa, Mamat
title Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
title_short Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
title_full Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
title_fullStr Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
title_full_unstemmed Global convergence analysis of a new nonlinear conjugate gradient coefficient with strong Wolfe line search
title_sort global convergence analysis of a new nonlinear conjugate gradient coefficient with strong wolfe line search
publishDate 2014
url http://eprints.unisza.edu.my/236/1/FH03-FIK-17-07765.jpg
http://eprints.unisza.edu.my/236/
_version_ 1681493206273884160
score 13.244745

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