The convergence properties of new hybrid conjugate gradient method Y Salih, M A Hamoda, Sukono, M Mamat Iop Conference Series Materials Science and Engineering, 2019 In this paper, a new Hybrid Conjugate Gradient Methods is presented, which produced sufficient descent search direction at every iteration and global Convergence Properties for solving large-scale nonlinear optimization problem under exact line search. The numerical experiments show that a hybrid method has the best efficiency for the test problems.
A conjugate gradient method with Strong Wolfe-Powell line search for unconstrained optimization Mohamed Hamoda, Mustafa Mamat, Mohd Rivaie, Zabidin Salleh Applied Mathematical Sciences, 2016 In this paper, a modified conjugate gradient method is presented for solving large-scale unconstrained optimization problems, which possesses the sufficient descent property with Strong Wolfe-Powell line search. A global convergence result was proved when the (SWP) line search was used under some conditions. Computational results for a set consisting of 138 unconstrained optimization test problems showed that this new conjugate gradient algorithm seems to converge more stable and is superior to other similar methods in many situations.
A comparative study of three new conjugate gradient methods with exact line search Mohamed Hamoda, Mohd Rivaie, Abdelrhaman Abshar, Mustafa Mamat Aip Conference Proceedings, 2015 Conjugate Gradient methods play an important role in solving unconstrained optimization, especially for large scale problems. In this paper, we compared the performance profile of the classical conjugate gradient coefficients FR, PRP with three new βk. These three new βk possess global convergence properties using the exact line search. Preliminary numerical results show that the three new βk are very promising and efficient when compared to CG coefficients FR, PRP.
A conjugate gradient method with inexact line search for unconstrained optimization Mohamed Hamoda, Mohd Rivaie, Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences, 2015 In this paper, an efficient nonlinear modified PRP conjugate gradient method is presented for solving large-scale unconstrained optimization problems. The sufficient descent property is satisfied under strong Wolfe-Powell (SWP) line search by restricting the parameter 4 / 1 . The global convergence result is established under the (SWP) line search conditions. Numerical results, for a set consisting of 133 unconstrained optimization test problems, show that this method is better than the PRP method and the FR method.
A comparative study of two new conjugate gradient methods Mohamed Hamoda, Abdelrhaman Abashar, Mustafa Mamat, Mohd Rivaie Aip Conference Proceedings, 2015 In this paper, we compared the performance profile of the classical conjugate gradient coefficients FR, PRP with two new βk. These two new βk possess global convergence properties using the exact line search. Preliminary numerical results show that, the two new βk is very promising and efficient when compared to CG coefficients FR, PRP.
A new nonlinear conjugate gradient coefficient for unconstrained optimization Mohamed Hamoda, Mohd Rivaie, Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences, 2015 In this paper, we suggest a new nonlinear conjugate gradient method for solving large scale unconstrained optimization problems. We prove that the new conjugate gradient coefficient k β with exact line search is globally convergent. Preliminary numerical results with a set of 116 unconstrained optimization problems show that k β is very promising and efficient when compared to the other conjugate gradient coefficients Fletcher Reeves ) (FR and Polak -Ribiere – Polyak ) (PRP .
RECENT SCHOLAR PUBLICATIONS
The convergence properties of new hybrid conjugate gradient method Y Salih, MA Hamoda, Sukono, M Mamat IOP Conference Series: Materials Science and Engineering 567 (1), 012031 , 2019 2019 Citations: 4
AN EFFICIENT PRP-HRM HYBRID CONJUGATE GRADIENT METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION MA Hamoda, M Rivaie, M Mamat Journal of Humanities and Applied Science 32, 99-114 , 2019 2019
New Hybrid Conjugate Gradient Method with Global Convergence Properties for Unconstrained Optimization Y Salih, MA Hamoda, M Rivaie Malaysian Journal of computing and applied mathematics (MyJCAM) 1 (1), 29-38 , 2018 2018 Citations: 17
A comparative study of two new conjugate gradient methods M Hamoda, A Abashar, M Mamat, M Rivaie 2017 Citations: 6
A NEW NONLINEAR CONJUGATE GRADIENT METHOD WITH EXACT LINE SEARCH FOR UNCONSTRAINED OPTIMIZATION MA Hamoda, M Rivaie, M Mamat Journal of Humanities and Applied Science (JHAS), 1-16 , 2017 2017 Citations: 4
Modification of Polak-Ribiere-Polyak (PRP) Conjugate Gradient Coefficient for Unconstrained Optimization Problems M Hamoda 2016
A conjugate gradient method with strong Wolfe-Powell line search for unconstrained optimization M Hamoda, M Mamat, M Rivaie, Z Salleh Appl. Math. Sci 10, 721-734 , 2016 2016 Citations: 48
A comparative study of three new conjugate gradient methods with exact line search M Hamoda, M Rivaie, A Abshar, M Mamat AIP Conference Proceedings 1682 (1), 020030 , 2015 2015
A Conjugate Gradient Method with Inexact Line Search for Unconstrained Optimization Mohamed Hamoda, Mohd Rivaie, Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences 9 (37), 1823-1832 , 2015 2015 Citations: 7
A New Nonlinear Conjugate Gradient Coefficient for Unconstrained Optimization Mohamed Hamoda, Mohd Rivaie ,Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences 9 (37), 1813-1822 , 2015 2015 Citations: 13
MOST CITED SCHOLAR PUBLICATIONS
A conjugate gradient method with strong Wolfe-Powell line search for unconstrained optimization M Hamoda, M Mamat, M Rivaie, Z Salleh Appl. Math. Sci 10, 721-734 , 2016 2016 Citations: 48
New Hybrid Conjugate Gradient Method with Global Convergence Properties for Unconstrained Optimization Y Salih, MA Hamoda, M Rivaie Malaysian Journal of computing and applied mathematics (MyJCAM) 1 (1), 29-38 , 2018 2018 Citations: 17
A New Nonlinear Conjugate Gradient Coefficient for Unconstrained Optimization Mohamed Hamoda, Mohd Rivaie ,Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences 9 (37), 1813-1822 , 2015 2015 Citations: 13
A Conjugate Gradient Method with Inexact Line Search for Unconstrained Optimization Mohamed Hamoda, Mohd Rivaie, Mustafa Mamat, Zabidin Salleh Applied Mathematical Sciences 9 (37), 1823-1832 , 2015 2015 Citations: 7
A comparative study of two new conjugate gradient methods M Hamoda, A Abashar, M Mamat, M Rivaie 2017 Citations: 6
The convergence properties of new hybrid conjugate gradient method Y Salih, MA Hamoda, Sukono, M Mamat IOP Conference Series: Materials Science and Engineering 567 (1), 012031 , 2019 2019 Citations: 4
A NEW NONLINEAR CONJUGATE GRADIENT METHOD WITH EXACT LINE SEARCH FOR UNCONSTRAINED OPTIMIZATION MA Hamoda, M Rivaie, M Mamat Journal of Humanities and Applied Science (JHAS), 1-16 , 2017 2017 Citations: 4
AN EFFICIENT PRP-HRM HYBRID CONJUGATE GRADIENT METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION MA Hamoda, M Rivaie, M Mamat Journal of Humanities and Applied Science 32, 99-114 , 2019 2019
Modification of Polak-Ribiere-Polyak (PRP) Conjugate Gradient Coefficient for Unconstrained Optimization Problems M Hamoda 2016
A comparative study of three new conjugate gradient methods with exact line search M Hamoda, M Rivaie, A Abshar, M Mamat AIP Conference Proceedings 1682 (1), 020030 , 2015 2015