SPECTRAL DY-TYPE PROJECTION METHOD FOR NONLINEAR MONOTONE SYSTEM OF EQUATIONS

作     者：Jinkui Liu Shengjie Li 

作者机构：College of Mathematics and Statistics Chongqing University Chongqing 401331 China School of Mathematics and Statistics Chongqing Three Gorges University Wanzhou 404100 China College of Mathematics and Statistics Chongqing University Chongqing 401331 China. 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2015年第33卷第4期

页      面：341-355页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070102[理学-计算数学] 0802[工学-机械工程] 0701[理学-数学] 

基　　金：国家自然科学基金 国家教育部高等学校博士学科点专项科研基金 the fund of Scientific Research in Southeast University (the support project of fundamental research) 

主　　题：Nonlinear monotone system of equations spectral gradient method DY conjugate gradient method Projection method Global convergence. 

摘      要：In this paper, we propose a spectral DY-type projection method for nonlinear mono- tone system of equations, which is a reasonable combination of DY conjugate gradient method, the spectral gradient method and the projection technique. Without the differen- tiability assumption on the system of equations, we establish the global convergence of the proposed method, which does not rely on any merit function. Furthermore, this method is derivative-free and so is very suitable to solve large-scale nonlinear monotone systems. The preliminary numerical results show the feasibility and effectiveness of the proposed method.