Three-term derivative-free projection method for solving nonlinear monotone equations

Abstract

In this paper, a three-term derivative-free projection method is proposed for solving nonlinear monotone equations. Under some appropriate conditions, the global convergence and R-linear convergence rate of the proposed method are analyzed and proved. With no need of any derivative information, the proposed method is able to solve large-scale nonlinear monotone equations. Numerical comparisons show that the proposed method is effective.

Keywords

Nonlinear monotone equations / conjugate gradient method / derivative-free projection method / global convergence / R-linear convergence rate

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