A new modification of nonlinear conjugate gradient formula
Nonlinear conjugate gradient (CG) methods are widely used for solving large-scale unconstrained optimization problems. Many works have tried to improve this method. It requires simplicity and low memory in numerical computation. The exact line search is used for analyzing and implementing CG methods...
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2016
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my-unisza-ir.74782022-09-13T05:51:51Z http://eprints.unisza.edu.my/7478/ A new modification of nonlinear conjugate gradient formula Mustafa, Mamat Awad, Abdelrahman Zabidin, Salleh QC Physics Nonlinear conjugate gradient (CG) methods are widely used for solving large-scale unconstrained optimization problems. Many works have tried to improve this method. It requires simplicity and low memory in numerical computation. The exact line search is used for analyzing and implementing CG methods. In this paper, a class of conjugate gradient methods possessing global convergence properties is presented. The global convergence and sufficient descent property are established using exact line searches. Numerical result demonstrated that the new formula of conjugate gradient method is superior and robust as compared to other CG coefficients. Pushpa Publishing House 2016-02 Article PeerReviewed image en http://eprints.unisza.edu.my/7478/1/FH02-FIK-16-06144.jpg Mustafa, Mamat and Awad, Abdelrahman and Zabidin, Salleh (2016) A new modification of nonlinear conjugate gradient formula. Far East Journal of Mathematical Sciences, 99 (4). pp. 509-523. ISSN 09720871 |
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QC Physics Mustafa, Mamat Awad, Abdelrahman Zabidin, Salleh A new modification of nonlinear conjugate gradient formula |
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Nonlinear conjugate gradient (CG) methods are widely used for solving large-scale unconstrained optimization problems. Many works have tried to improve this method. It requires simplicity and low memory in numerical computation. The exact line search is used for analyzing and implementing CG methods. In this paper, a class of conjugate gradient methods possessing global convergence properties is presented. The global convergence and sufficient descent property are established using exact line searches. Numerical result demonstrated that the new formula of conjugate gradient method is superior and robust as compared to other CG coefficients. |
| format |
Article |
| author |
Mustafa, Mamat Awad, Abdelrahman Zabidin, Salleh |
| author_facet |
Mustafa, Mamat Awad, Abdelrahman Zabidin, Salleh |
| author_sort |
Mustafa, Mamat |
| title |
A new modification of nonlinear conjugate gradient formula |
| title_short |
A new modification of nonlinear conjugate gradient formula |
| title_full |
A new modification of nonlinear conjugate gradient formula |
| title_fullStr |
A new modification of nonlinear conjugate gradient formula |
| title_full_unstemmed |
A new modification of nonlinear conjugate gradient formula |
| title_sort |
new modification of nonlinear conjugate gradient formula |
| publisher |
Pushpa Publishing House |
| publishDate |
2016 |
| url |
http://eprints.unisza.edu.my/7478/1/FH02-FIK-16-06144.jpg http://eprints.unisza.edu.my/7478/ |
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1744358601916416000 |