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Journal : International Journal of Quantitative Research and Modeling

ON QUASI NEWTON METHOD FOR SOLVING FUZZY NONLINEAR EQUATIONS Umar A Omesa; Mustafa Mamat; Ibrahim M Sulaiman; Sukono Sukono
International Journal of Quantitative Research and Modeling Vol 1, No 1 (2020)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (512.04 KB) | DOI: 10.46336/ijqrm.v1i1.1

Abstract

This paper presents Quasi Newton’s (QN) approach for solving fuzzy nonlinear equations. The method considers an approximation of the Jacobian matrix which is updated as the iteration progresses. Numerical illustrations are carried, and the results shows that the proposed method is very encouraging.
A COMPARATIVE STUDY OF SOME MODIFICATIONS OF CG METHODS UNDER EXACT LINE SEARCH Yasir Salih; Mustafa Mamat; Sukono Sukono
International Journal of Quantitative Research and Modeling Vol 1, No 1 (2020)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (428.404 KB) | DOI: 10.46336/ijqrm.v1i1.2

Abstract

Conjugate Gradient (CG) method is a technique used in solving nonlinear unconstrained optimization problems. In this paper, we analysed the performance of two modifications and compared the results with the classical conjugate gradient methods of. These proposed methods possesse global convergence properties for general functions using exact line search. Numerical experiments show that the two modifications are more efficient for the test problems compared to classical CG coefficients.