DIAGONAL UPDATING SHAMANSKII-LIKE METHOD FOR SOLVING SINGULAR FUZZY NONLINEAR EQUATIONS

2018 ◽  
Vol 103 (10) ◽  
pp. 1619-1629 ◽  
Author(s):  
I. M. Sulaiman ◽  
M. Mamat ◽  
M. A. Mohamed ◽  
M. Y. Waziri
Keyword(s):  
Nonlinear Equations ◽  
Diagonal Updating

scholarly journals An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Mohammed Yusuf Waziri ◽  
Zanariah Abdul Majid
Keyword(s):  
Nonlinear Equations ◽  
Large Scale ◽  
Systems Of Nonlinear Equations ◽  
Numerical Comparison ◽  
Large Scale Systems ◽  
Additional Information ◽  
Cauchy Relation ◽  
Diagonal Updating ◽  
Quasi Newton

We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions. The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods.

Solving System of Nonlinear Equations using Genetic Algorithm

2019 ◽  
Vol 10 (4) ◽  
pp. 877-886 ◽  
Author(s):  
Chhavi Mangla ◽  
Musheer Ahmad ◽  
Moin Uddin
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Equations ◽  
System Of Nonlinear Equations
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