摘要
设计一种针对大规模非线性方程组的修正DY共轭梯度算法.该算法的搜索方向不仅自动满足充分下降条件,而且属于信赖域.在适当条件下,可以证明新算法是全局收敛的.初步的数值实验表明新算法可以有效求解大规模非线性方程组.
This paper gives a modified Dai-Yuan conjugate gradient algorithm for largescale nonlinear equations. The presented search direction not only possesses the sufficient descent property but also belongs to a trust region. The new algorithm has the global convergence under appropriate conditions. Numerical results show that this pro-posed algorithm is more effective than that of the normal method for large scale nonlinear equations.
出处
《华中师范大学学报（自然科学版）》
CAS
北大核心
2017年第6期731-735,共5页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(11661001
11661009)
广西省自然科学基金项目(2014GXNSFAA118030)
广西省教育厅科研项目(YB2014389)
关键词
非线性方程组
共轭梯度法
大规模
信赖域
全局收敛
nonlinear equation
conjugate gradient methods
large-scale
trust region
global convergence
