Spectral Fletcher (CD) Algorithm for Solving Fuzzy Non-Linear Equations

Authors : Mezher M ABED1, Ufuk ÖZTÜRK, Hisham MOHAMMED

Pages : 108-119

View : 21 | Download : 14

Publication Date : 2021-12-15

Article Type : Research Paper

Abstract :A conjugate gradient method is a powerful tool for solving large-scale miniaturization issues, with applications in arithmetic, chemistry, physics, engineering, medicine, and other fields. In this paper, we introduce a new spectral conjugate gradient algorithm, whose derivation is based on the Fletcher insert ignore into journalissuearticles values(CD); and Newton algorithms based on the solely coupling condition, which is introduced in this study. The significance of the research is in identifying a suitable algorithm. Because the Buckley and Qu methods are ineffectual in solving all types of ambiguous equations, and the conjugate gradient approach does not require a Hessian matrix insert ignore into journalissuearticles values(second partial derivatives of functions); in the solution, it is used to solve all types of ambiguous equations. The suggested method`s descent property is demonstrated as long as the α_kstep size matches the strong Wolfe conditions. In many cases, numerical findings demonstrate that the novel technique is more efficient in solving nonlinear fuzzy equations than Fletcher insert ignore into journalissuearticles values(CD); algorithm.
Keywords : algorithms, CG, Fletcher, fuzzy, numerical