Solving Fuzzy Nonlinear Equations with a New Class of Conjugate Gradient Method

Authors

  • I M Sulaiman Federal College of Agricultural Produce Technology, Kano
  • M Y Waziri Mathematics Department, Bayero University Kano
  • E S Olowo Federal College of Agricultural Produce Technology, Kano
  • A N Talat Applied Science Department, Aqaba University College, Al-Balqa Applied University, Jordan

DOI:

https://doi.org/10.37231/myjcam.2018.1.1.13

Keywords:

unconstrained optimization, parametric form, fuzzy nonlinear, Conjugate gradient

Abstract

In this paper, we study the performance of a new conjugate gradient (CG) method for fuzzy nonlinear equations. This method is simple and converges globally to the solution. The parameterized fuzzy coefficients are transformed into unconstrained optimization problem (UOP) and the CG method under exact line search was employed to solve the equivalent optimization problem. The method is discussed in details followed by the simplification for easy analysis. Numerical result on some benchmark problems illustrates the efficiency of the proposed method.

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Published

2018-06-29

Issue

Vol. 1 No. 1 (2018): Malaysian Journal of Computing and Applied Mathematics

Section

Articles

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