冯新龙, 曾红玉. 加速牛顿迭代收敛的新方法[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2003, (2).DOI：
加速牛顿迭代收敛的新方法
摘要
提出了加速牛顿迭代收敛的新思想
构造出一类加权牛顿迭代格式
通过选取最优加权因子
使得该格 式具有高阶收敛性和较小的渐近误差常数.
Abstract
This paper proposes a new idea for accelerating the convergence of Newton's method and constructs a kind of weighted Newton's iterative schemes. Through Choosing the optimal weighted factor to make the scheme with higher-order convergence and smaller asymptotic error constant.
关键词
Keywords
references
Phillips G M, Taylor P J. Theory and Applications of Numerical Analysis [M], Academic Press,Inc. 1973,16-186．
Richard L,Burden J. Douglas Faires,Numerical Analysis (Seventh Edition)[M],Higher Education Press Thomson Learning,Inc. 2001． 47-103．
京公网安备11010802024621