An efficient three term cg method using a modified fr formula for solving unconstrained optimization problems

Abstract

Recently, several three-term conjugate gradient (CG) methods have been proposed to improve the performance of the FR CG formula. Most of the methods have convergences lapses under different line search including Armijo line search and Wolfe line search. Motivated by this, in this paper we modified the FR CG method and proposed a new three-term CG method. The anticipation is to improve the FR formula while keeping its sufficient descent as well as the global convergence properties under strong Wolfe condition. Numerous standard test problems have been used to generate the numerical results. The outcomes show that the new method is robust and efficient when compared with other famous CG methods