标准Wolfe线搜索下修正的HS共轭梯度法  

Modified HS Conjugate Gradient Method with Standard Wolfe Line Search

作　　者：蔡宇 周光辉[1] CAI Yu;ZHOU Guanghui(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2023年第1期27-31,共5页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省高校自然科学研究项目(KJ2020ZD008)。

摘　　要：为求解非线性无约束优化问题,本文在HS共轭梯度法的基础上,得到一个修正的共轭梯度法。不依赖于强Wolfe线搜索的选择,仅在标准Wolfe线搜索下,证明该修正的共轭梯度法的搜索方向满足下降性和相应算法的全局收敛性。最后的数值实验结果表明该方法是有效的。In order to solve the nonlinear unconstrained optimization problems,a modifed conjugate gradient method is obtained based on the HS conjugate gradient method. without relying on the choice of a strong Wolfe line search,it is shown that the search direction of the modified conjugate gradient method satisfies descent and the golbal convergence of the corresponding algorithm under the standard Wolfe line search only.The final numerical results show that the method is effective.

关 键 词：无约束优化 共轭梯度法 标准Wolfe线搜索 全局收敛 

分 类 号：O224[理学—运筹学与控制论]