摘要
提出了一类解非线性方程的非单调信赖域的牛顿算法。证明了此方法的全局收敛性,并给出了它在一定条件下的超线性收敛的结果。
We give a quasi-Newton algorithm with nonmonotonic trust region methods for nonlinear equations.The global convergence results are given for the nonmonotonic trust region technique.Furthermore,the proposed algorithm is superlinearly convergent under a certain growth condition.
出处
《上海师范大学学报（自然科学版）》
2003年第2期16-22,共7页
Journal of Shanghai Normal University(Natural Sciences)
基金
Supportrd by NSFG Project(10071050)
关键词
信赖域
拟牛顿法
非线性方程
非单调技术
trust region
quasi-Newton method
nonlinear equations
nonmonotone technique
