新线搜索条件下的Dai-Yuan型共轭梯度法  

Dai-Yuan Type Conjugate Gradient Method Under a New Line Search

作　　者：曹尹平 周光辉[1] CAO Yinping;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）》2020年第3期9-14,共6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：对非线性无约束优化问题,文章构造一个新的算法,将一种新型线搜索方法与经典算法Dai-Yuan型共轭梯度法相结合.证明搜索方向是充分下降的,且算法具有全局收敛性.初步的数值实验结果表明,新线搜索下的Dai-Yuan型共轭梯度法是有效的.For nonlinear unconstrained optimization problem,this paper constructs a new algorithm,which combines a new line search method and classical Dai-Yuan type conjugate gradient method.It is proved that the new direction has sufficient descent property and the algorithm is global convergent.Preliminary numeri⁃cal test results show that the Dai-Yuan type conjugate gradient method is effective under the new line search.

关 键 词：无约束优化 线搜索 共轭梯度法 

分 类 号：O224[理学—运筹学与控制论]