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

作　　者：Jinkui LIU Xianglin DU 

机构地区：[1]School of Mathematics and Statistics,Chongqing Three Gorges University,Chongqing 404000,China

出　　处：《Frontiers of Mathematics in China》2023年第4期287-299,共13页中国高等学校学术文摘·数学（英文）

摘　　要：In this paper,a three-term derivative-free projection method is proposed for solving nonlinear monotone equations.Under someappropriate 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.

关 键 词：Nonlinear monotone equations conjugate gradient method deriva-tive-free projection method global convergence R-linear convergence rate 

分 类 号：O17[理学—数学]