摘要
在Hilbert空间,将外推技巧和Newton法相结合,得到新的迭代格式.用其求解奇异问题,使改进的Newton法收敛速率由0.5提高到0.333 3.此结论对一般的Banach空间同样适用.
In Hilbert space, the singular problems are solved by using the combination of modified Newton method and the extrapolation technique.The modified Newton method is shown to yield a new sequence that im-proves the convergence rate from 0.5 to 0.333 3.The conclusion is also applied to a Banach space.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2014年第5期81-84,共4页
Journal of Natural Science of Hunan Normal University
基金
郑州市科技局资助项目(20141374
20141375)
黄河科技学院教改资助项目(MJ2012014)
