Mohd Rivaie
Universiti Teknologi MARA
AlgorithmGradient methodMathematical optimizationCPU timeMathematical analysisGradient descentNonlinear systemDerivation of the conjugate gradient methodNonlinear conjugate gradient methodScale (ratio)Descent (mathematics)Applied mathematicsUnconstrained optimizationMathematicsComputer scienceConvergence (routing)Conjugate gradient methodLine searchBiconjugate gradient methodConjugate residual method
97Publications
7H-index
289Citations
Publications 97
Newest
#1Nurul Hafawati Fadhilah (UiTM: Universiti Teknologi MARA)
#2Mohd Rivaie (UiTM: Universiti Teknologi MARA)H-Index: 7
Last. Nur Idalisa (UiTM: Universiti Teknologi MARA)
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Conjugate Gradient (CG) methods have an important role in solving large scale unconstrained optimization problems. Nowadays, the Three-Term CG method has become a research trend of the CG methods. However, the existing Three-Term CG methods could only be used with the inexact line search. When the exact line search is applied, this Three-Term CG method will be reduced to the standard CG method. Hence in this paper, a new Three-Term CG method that could be used with the exact line search is propo...
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Last. Mohd RivaieH-Index: 7
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The conjugate gradient methods are among the most efficient methods for solving optimization models. This is due to its simplicity, low memory requirement and the properties of its global convergent. Many researchers try to improve this technique. In this paper, we suggested a modification of the conjugate gradient parameter with global convergence properties via exact minimization rule. Preliminary experiment was conducted using some unconstrained optimization benchmark problems. Numerical outc...
#1Ibrahim Mohammed Sulaiman (UniSZA: Universiti Sultan Zainal Abidin)H-Index: 4
#2Mustafa Mamat (UniSZA: Universiti Sultan Zainal Abidin)H-Index: 15
Last. Maulana MalikH-Index: 4
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1 CitationsSource
#1Siti Farhana HusinH-Index: 1
#2Mustafa MamatH-Index: 4
Last. Mohd RivaieH-Index: 7
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This study employs exact line search iterative algorithms for solving large scale unconstrained optimization problems in which the direction is a three-term modification of iterative method with two different scaled parameters. The objective of this research is to identify the effectiveness of the new directions both theoretically and numerically. Sufficient descent property and global convergence analysis of the suggested methods are established. For numerical experiment purposes, the methods a...
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#1Nur Syarafina Mohamed (University of Kuala Lumpur)H-Index: 3
#2Mustafa Mamat (UniSZA: Universiti Sultan Zainal Abidin)H-Index: 15
Last. Shazlyn Milleana Shaharudin (UPSI: Sultan Idris University of Education)H-Index: 3
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Hybridization is one of the popular approaches in modifying the conjugate gradient method. In this paper, a new hybrid conjugate gradient is suggested and analyzed in which the parameter is evaluated as a convex combination of while using exact line search. The proposed method is shown to possess both sufficient descent and global convergence properties. Numerical performances show that the proposed method is promising and has overpowered other hybrid conjugate gradient methods in its number of ...
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#2Mustafa MamatH-Index: 15
Last. Mustafa MamatH-Index: 4
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#1Talat AlkhouliH-Index: 1
Last. Mohd RivaieH-Index: 7
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#2Mustafa MamatH-Index: 4
Last. Mohd RivaieH-Index: 7
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#2Mohd RivaieH-Index: 7
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#2Mohd RivaieH-Index: 7
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