应用数学2025，Vol.38Issue(2)：553-564,12.
一种改进的求解无约束优化问题的混合PRP-HS共轭梯度算法
A Modified PRP-HS Hybrid Conjugate Gradient Algorithm for Solving Unconstrained Optimization Problems
摘要
Abstract
In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribière-Polyak(PRP)conjugate gradient method.Under the condition of standard Wolfe line search,the proposed search direction is the descent direction.For general nonlinear functions,the method is globally convergent.Finally,numerical results show that the proposed method is efficient.关键词
共轭梯度法/无约束优化/充分下降性/全局收敛性Key words
Conjugate gradient method/Unconstrained optimization/Sufficient descent condition/Global convergence分类
数学引用本文复制引用
李向利,王芷凌,李丙栏..一种改进的求解无约束优化问题的混合PRP-HS共轭梯度算法[J].应用数学,2025,38(2):553-564,12.基金项目
Supported by the Science and Technology Project of Guangxi(Guike AD23023002) （Guike AD23023002）
