摘要
基于求解非线性方程迭代公式收敛速度的定义,提出了一种新的迭代加速方法,特别对具有p(p≥2)阶收敛的迭代公式可以至少加速到p2+1阶,当1<p<2时,收敛阶可以提高到p2+p-1阶,另外也讨论了p=1的情形.
A new iterative method is presented based on the definition of convergence rate for iterative formula of solving nonlinear equation.Especially this method can accelerate p（p≥2） order convergence of the iterative formula to p^2＋1 order at least and also to p^2＋p-1 order when 1〈p〈2.The case of p=1 is also discussed in this paper.
出处
《甘肃科学学报》
2011年第4期85-89,共5页
Journal of Gansu Sciences
关键词
非线性
迭代公式
收敛阶
nonlinear equation
iterative formula
convergent order
