摘要
在Hilbert空间,将外推技巧和弦线法相结合,得到新的迭代格式,用来求解奇异问题,使改进的弦线法收敛速率由0.618 034提高到0.381 966,并通过数值例子检验.此结论对一般的Banach空间同样适用.
In Hilbert space, the singular problems are solved by modifying secant method and using the extrapolation technique. Our modified chord method is shown to yield a new sequence that improves the convergence rate from 0. 618 034 to 0.381 966. This method is tested by numerical examples. This new approach can also be applied to a Banach space.
作者
侯新华
初元红
刘杰
蒋红敬
HOU Xin-hua CHU Yuan-hong LIU Jie JIANG Hong-jing(Business and Tourism Department, Hunan Industry Poletechnic, Changsha 410208, China Huanghe Science and Technology College, Zhengzhou 450063, China)
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2017年第2期85-88,共4页
Journal of Natural Science of Hunan Normal University
基金
郑州市科技局资助项目(20141374)和(20141375)
