A new hybrid conjugate gradient method with global convergence properties

Maulana Malik4
Estimated H-index: 4
,
Siti Sabariah Abas3
Estimated H-index: 3
(UniSZA: Universiti Sultan Zainal Abidin)
+ 2 AuthorsIbrahim S. Mohammed3
Estimated H-index: 3
(UniSZA: Universiti Sultan Zainal Abidin)
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Abstract
📖 Papers frequently viewed together
2015
1 Author (吴雪莎)
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Cited By7
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#1Basim A. HassanH-Index: 4
Last. Abdulkarim Hassan IbrahimH-Index: 12
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#2Mustafa MamatH-Index: 16
Last. M Z Ahmad
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#1Basim A. HassanH-Index: 4
#2Maulana MalikH-Index: 4
view all 3 authors...
The quasi-Newton (QN) method are among the efficient variants of conjugate gradient (CG) method for solving unconstrained optimization problems. The QN method utilizes the gradients of the function while ignoring the available value information at every iteration. In this paper, we extended the Dai-Yuan [39] coefficient in designing a new CG method for large-scale unconstrained optimization problems. An interesting feature of our method is that its algorithm not only uses the available gradient ...
#1S. Devila (UI: University of Indonesia)H-Index: 1
#2Maulana Malik (UI: University of Indonesia)H-Index: 4
Last. Wed Giyarti (Sunan Kalijaga Islamic University)
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In this paper, we propose a new hybrid coefficient of conjugate gradient method (CG) for solving unconstrained optimization model. The new coefficient is combination of part the MMSIS (Malik et.al, 2020) and PRP (Polak, Ribi'ere \& Polyak, 1969) coefficients. Under exact line search, the search direction of new method satisfies the sufficient descent condition and based on certain assumption, we establish the global convergence properties. Using some test functions, numerical results show that t...
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#1Maulana Malik (UI: University of Indonesia)H-Index: 4
#2Auwal Bala Abubakar (Sefako Makgatho Health Sciences University)H-Index: 13
Last. Sukono (UNPAD: Padjadjaran University)H-Index: 7
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#2Mustafa MamatH-Index: 16
Last. Maulana MalikH-Index: 4
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#1Maulana MalikH-Index: 4
#2Mustafa MamatH-Index: 16
Last. SukonoH-Index: 7
view all 5 authors...
The Spectral conjugate gradient method is an efficient method for solving large-scale unconstrained optimization problems. In this paper, we propose a new spectral conjugate gradient method in which performance is analyzed numerically. We establish the descent condition and global convergence property under some assumptions and the strong Wolfe line search. Numerical experiments to evaluate the method’s efficiency are conducted using 98 problems with various dimensions and initial points. The nu...
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