摘要
讨论同时求解代数方程所有单根时Halley迭代法的收敛性,给出了保证其收敛的初值应满足的一个充分条件,使Halley迭代法的收敛性获得新的表述和证明。
The convergence of Halley iteration method for algebraic equation is discussed in this paper.A sufficient condition the starting values should satisfy for the convergence of the method is given.A new convergence theorem is obtained and new proof of the convergence is given.
出处
《江苏工业学院学报》
2010年第1期69-71,共3页
Journal of Jiangsu Polytechnic University
关键词
代数方程
Halley迭代法
初值
收敛性
algebraic equation
Halley iterative method
starting values
convergence
