Multivariate Spectral Conjugate Gradient Projection Method for Nonlinear Monotone Equations

Abstract

This paper presents a multivariate spectral conjugate gradient projection method (MSCGP) for solving the nonlinear monotone equations with convex constraints. The proposed method has low storage requirement and it does not need the computation of the derivative as well as the solution to some linear equations. Under some appropriate assumptions, globally convergent is established. Numerical results show that the proposed method is efficient and competitive to some exist methods in the literature.