A new hybrid conjugate gradient method with global convergence properties

Maulana Malik; Siti Sabariah Abas; Mustafa Mamat; Sukono; Ibrahim Sulaiman Mohammed

A new hybrid conjugate gradient method with global convergence properties

Maulana Malik, Siti Sabariah Abas, Mustafa Mamat, Sukono, Ibrahim Sulaiman Mohammed

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Hybridization is one of the common approaches in modification of the conjugate gradient (CG) method. In this paper, we propose a new hybrid CG parameter and compares its efficiency with the other hybrid CG methods. Their performance is analyzed under the exact line search. The new hybrid CG method satisfies the descent condition and support the global convergence. Based on the test of the problem being tested, the results show that the new hybrid CG has better than other hybrid CG methods.

Original language	English
Pages (from-to)	199-210
Number of pages	12
Journal	International Journal of Advanced Science and Technology
Volume	29
Issue number	5
Publication status	Published - 10 Apr 2020

Keywords

Conjugate Gradient Method
Exact Line Search
Global Convergence
Hybrid Conjugate Gradient
Sufficient Descent

Cite this

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abstract = "Hybridization is one of the common approaches in modification of the conjugate gradient (CG) method. In this paper, we propose a new hybrid CG parameter and compares its efficiency with the other hybrid CG methods. Their performance is analyzed under the exact line search. The new hybrid CG method satisfies the descent condition and support the global convergence. Based on the test of the problem being tested, the results show that the new hybrid CG has better than other hybrid CG methods.",

keywords = "Conjugate Gradient Method, Exact Line Search, Global Convergence, Hybrid Conjugate Gradient, Sufficient Descent",

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AU - Abas, Siti Sabariah

AU - Mamat, Mustafa

AU - Sukono,

AU - Mohammed, Ibrahim Sulaiman

PY - 2020/4/10

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N2 - Hybridization is one of the common approaches in modification of the conjugate gradient (CG) method. In this paper, we propose a new hybrid CG parameter and compares its efficiency with the other hybrid CG methods. Their performance is analyzed under the exact line search. The new hybrid CG method satisfies the descent condition and support the global convergence. Based on the test of the problem being tested, the results show that the new hybrid CG has better than other hybrid CG methods.

AB - Hybridization is one of the common approaches in modification of the conjugate gradient (CG) method. In this paper, we propose a new hybrid CG parameter and compares its efficiency with the other hybrid CG methods. Their performance is analyzed under the exact line search. The new hybrid CG method satisfies the descent condition and support the global convergence. Based on the test of the problem being tested, the results show that the new hybrid CG has better than other hybrid CG methods.

KW - Conjugate Gradient Method

KW - Exact Line Search

KW - Global Convergence

KW - Hybrid Conjugate Gradient

KW - Sufficient Descent

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A new hybrid conjugate gradient method with global convergence properties

Abstract

Keywords

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