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.
作者
曹尹平
周光辉
CAO Yinping;ZHOU Guanghui(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)
出处
《淮北师范大学学报（自然科学版）》
CAS
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)。
关键词
无约束优化
线搜索
共轭梯度法
unconstrained optimization
line search
conjugate gradient method
