摘要
改进了求解带不可微项方程的平方根法,建立了修正平方根法.与平方根法相比较,修正平方根法收敛速率仍保持三阶不变,在每两次迭代步骤中,比原平方根法少计算2个导数值.利用优序列技巧,在γ-条件下,证明了该迭代格式的收敛性,并给出了误差估计.
A modified square root method which can improve the square root method for solving equations with nondifferentiable term was presented. The convergence rate of the modified method was still third order. For every two iterations, the number of differential values calculated using the new method was two less than using the former method. Under γ-condition, the convergence and error estimation were given by majorant sequence.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2006年第4期560-564,共5页
Journal of China University of Mining & Technology
关键词
不可微项
优序列
平方根法
nondifferentiable term
majorant sequence
square root method
