云南师范大学学报（自然科学版）2023，Vol.43Issue(6)：18-23,6.DOI:10.7699/j.ynnu.ns-2023-075
凸约束非线性方程组的杂交修正HS-FR共轭梯度解法
A Hybrid Modified HS-FR Conjugate Gradient Method for Convex Constrained Nonlinear Equations
摘要
Abstract
In order to improve the operational efficiency for nonlinear equations with convex con-straints,based on the studies of conjugate gradient methods and nonlinear equations and inspired by convex combination technique as well as the hybrid idea,a modified HS(Hestenes-Stiefel)and FR(Hestenes-Stiefel)conjugate gradient parameters is used to make a convex combination to construct a novel hybrid conjugate parameters.The search direction has sufficient descent and trust region proper-ties.The global convergence of the new algorithm is proved under appropriate assumptions.The results of the numerical experiment verify the efficiency and feasibility of the new algorithm in solving large-scale convex constrained optimization problems.关键词
共轭梯度法/非线性方程组/凸约束/投影方法/全局收敛性Key words
Conjugate gradient method/Nonlinear equations/Convex constraint/Projection method/Global convergence分类
数理科学引用本文复制引用
夏艳,李丹丹,李远飞..凸约束非线性方程组的杂交修正HS-FR共轭梯度解法[J].云南师范大学学报（自然科学版）,2023,43(6):18-23,6.基金项目
广西自然科学基金资助项目(2020GXNSFAA159069) （2020GXNSFAA159069）
广州华商学院科研基金资助项目(2021HSKT01). （2021HSKT01）
