Muhammad Fauzi
Universiti Teknologi MARA
Gradient methodMathematical optimizationMathematical analysisMental healthMinificationApproximation algorithmLogistic regressionGradient descentEigenvalues and eigenvectorsQuadratic unconstrained binary optimizationConjugateLine (geometry)Derivation of the conjugate gradient methodNonlinear conjugate gradient methodReciprocalResponse rate (survey)Depression (differential diagnoses)Intervention (counseling)Applied mathematicsUnconstrained optimizationMathematicsBiomedical sciencesAnxietyClinical psychologyConvergence (routing)MedicineCohortConjugate gradient methodLine searchBiconjugate gradient methodConjugate residual methodField (mathematics)
9Publications
4H-index
18Citations
Publications 9
Newest
#1Muhammad Fauzi (UiTM: Universiti Teknologi MARA)H-Index: 4
#2Tengku Shahrul Anuar (UiTM: Universiti Teknologi MARA)H-Index: 13
Last. Mohd Zaki Salleh (UiTM: Universiti Teknologi MARA)H-Index: 22
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Stress, anxiety, and depression (SAD) have a negative impact on the learning and academic performance of university students. Hence, this study aimed to determine the prevalence, as well as the risk factors associated with SAD among a cohort of students pursuing undergraduate degree courses in health sciences. This is part of the strategy in building a healthy nation. A questionnaire containing socio-demographic factors and the short version of Depression, Anxiety, and Stress Scale-21 (DASS-21) ...
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#3Mohd RivaieH-Index: 8
Last. Zabidin SallehH-Index: 11
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#1Mohd RivaieH-Index: 8
#2Muhammad FauziH-Index: 4
Last. Ismail MohdH-Index: 4
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Conjugate gradient (CG) methods play a significant and important role in solving unconstrained optimization. This paper presents, a new modification of the conjugate gradient coefficient (βκ) that has global convergence properties. The global convergence result is established using exact line searches. Numerical results show that the proposed formula is superior when compared to other CG coefficients. Numerical results also suggest that this method possesses global convergence properties.
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#1Mohd Rivaie (UiTM: Universiti Teknologi MARA)H-Index: 8
#2Muhammad Fauzi (UiTM: Universiti Teknologi MARA)H-Index: 4
Last. Mustafa Mamat (UMT: Universiti Malaysia Terengganu)H-Index: 16
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Conjugate gradient (CG) methods have played an important role in solving unconstrained optimization due to its simplicity and global convergence properties. In this paper, two new modifications of conjugate gradient coefficient (β k ) with global convergence properties are presented. The global convergence result is established using exact line searches. Comparisons are made between six others well known CG coefficient. Preliminary result by performance profile shows that the proposed formula is...
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#1Mohd RivaieH-Index: 8
#2Muhammad FauziH-Index: 4
Last. Ismail MohdH-Index: 8
view all 4 authors...
Source
#1Mohd Rivaie (UiTM: Universiti Teknologi MARA)H-Index: 8
#2Muhammad Fauzi (UiTM: Universiti Teknologi MARA)H-Index: 4
Last. Mustafa Mamat (UMT: Universiti Malaysia Terengganu)H-Index: 16
view all 3 authors...
Conjugate gradient methods are well known and popular in unconstrained optimization. Numerous studies and modifications have been devoted by researchers to improve this method. In this paper, we introduced a new conjugate gradient coefficient (β k ) and tested its performance using exact line search. Numerical results based on number of iterations have shown our new β k performance is better or equivalent to the other six well known β k proposed by the early researchers. The results also suggest...
Source
#1Mohd Rivaie (UMT: Universiti Malaysia Terengganu)H-Index: 8
#3Ismail Mohd (UiTM: Universiti Teknologi MARA)H-Index: 1
Last. Muhammad Fauzi (UMT: Universiti Malaysia Terengganu)H-Index: 4
view all 4 authors...
Abstract Conjugate gradient methods play an important role in unconstrained optimization. Numerous studies and modifications have been devoted recently to improve this method. In this paper we propose a new conjugate gradient coefficient (β k ) by modifying the already proven Hestenes-Steifel formula. In this new β k we introduce a new formula for the denominator and retain the numerator of the Hestenes-Steifel formula. Numerical results have shown that the new formula for β k performs far bette...
Source
#1Mohd RivaieH-Index: 8
#2Mustafa MamatH-Index: 16
Last. Muhammad FauziH-Index: 4
view all 4 authors...
Conjugate gradient methods are popular in the field of unconstrained optimization. Numerous studies have been devoted recently to improve this method. In this paper three of our new propose conjugate gradient coefficient (βk) have been compared with the six most common (βk) proposed by the early researches. The first proposed method is based from the reciprocal of the summation of the eigenvalues. The second and third proposed methods are based from the modification of the original Polak-Ribiere...
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