M. Y. Waziri
Bayero University Kano
AlgorithmQuasi-Newton methodDescent directionMathematical optimizationMathematical analysisNonlinear systemJacobian matrix and determinantScale (ratio)Derivative (chemistry)Point (geometry)Applied mathematicsSymmetric systemsUnconstrained optimizationMathematicsComputer scienceFuzzy logicConvergence (routing)Broyden's methodConjugate gradient methodNewton's methodLine search
25Publications
7H-index
22Citations
Publications 23
Newest
#2Mustafa MamatH-Index: 16
Last. SukonoH-Index: 7
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#2Mustafa MamatH-Index: 16
Last. Maulana MalikH-Index: 4
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#1M. K. Dauda (Kaduna State University)H-Index: 4
#2Abubakar S. Magaji (Kaduna State University)H-Index: 1
Last. M. Y. Waziri (Bayero University Kano)H-Index: 7
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Abstract Quasi Newton’s method is among the most promising algorithm for solving systems of nonlinear equations. In this family, Broyden’s method update is the famous. This paper presents a simple conjugate gradient (CG) method for solving large-scale systems of nonlinear equations via memoryless Broyden’s approach. The attractive attribute of this method is due to its low memory requirements, global convergence properties and simple implementation. Under suitable conditions, the proposed method...
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#1Kamilu KamfaH-Index: 2
#2M. Y. WaziriH-Index: 7
Last. Siti Sabariah AbasH-Index: 3
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#1M. K. DaudaH-Index: 4
#2Mustafa MamatH-Index: 16
Last. M. Y. WaziriH-Index: 7
view all 5 authors...
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#2M. K. DaudaH-Index: 4
Last. M. H. MamatH-Index: 9
view all 4 authors...
An algorithm for solving large-scale systems of nonlinear equations based on the transformation of the Newton method with the line search into a derivative-free descent method is introduced. Main idea used in the algorithm construction is to approximate the Jacobian by an appropriate diagonal matrix. Furthermore, the step length is calculated using inexact line search procedure. Under appropriate conditions, the proposed method is proved to be globally convergent under mild conditions. The numer...
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