应用数学2021，Vol.34Issue(4)：940-949,10.
一类带凸约束的单调非线性方程组的无导数投影法收敛率分析
Convergence Rate Analysis of a Class of Derivative-Free Projection Methods for Convex Constrained Monotone Nonlinear Equations
摘要
Abstract
In this paper, we further study the existing supermemory gradient-type method for solving convex constrained monotone nonlinear equations and establish its sub-linear convergence rate under some mild conditions. Furthermore, a more general algorithmic framework of derivative-free projection method for solving convex constrained nonlinear monotone equations is proposed and its convergence properties are discussed. Two illustrative examples are reported to verify the feasibility of the proposed algorithmic framework.关键词
非线性方程组/单调性/投影方法/收敛率分析Key words
Nonlinear equation/Monotonicity/Projection method/Analysis on conver-gence rate分类
数理科学引用本文复制引用
李琳,林海婵,欧宜贵..一类带凸约束的单调非线性方程组的无导数投影法收敛率分析[J].应用数学,2021,34(4):940-949,10.基金项目
Supported by NNSF(11961018)and NSF of Hainan Province(120QN175) （11961018）
