AN EFFICIENT NEW CONJUGATE GRADIENT APPROACH FOR SOLVING SYMMETRIC NONLINEAR EQUATIONS
JAMILU SABI'U *
Department of Mathematics, Faculty of Sciences, Northwest University Kano, P.O.Box 3220, Kano, Nigeria.
Department of Mathematics and Computer Science, Faculty of Natural and Apllied Sciences, Umaru Musa Yar’adua University Katsina, Katsina, Nigeria.
*Author to whom correspondence should be addressed.
In this article, we proposed a derivative and matrix free an efficient conjugate gradient approach for solving symmetric nonlinear equations without computing exact gradient and Jacobian with a very low memory requirement. We show that the proposed method has global convergence properties under appropriate conditions with nonmonotone line search. We also report some numerical resultsto show its efficiency.
Keywords: Backtracking line search, Secant equation, symmetric nonlinear equations, Conjugate gradient method