摘要
研究了具有重根的非线性方程的迭代方法,对基于动力系统的新牛顿类方法作了修改,改进方法仍保持了牛顿方法的二阶收敛性.数值实验结果验证了方法的有效性.
The new iterative method of quadratic convergence for solving nonlinear equation with multiple root are proposed in this paper.These methods are the improvements of new ″Newton like″ method on the basis of liapunov′s methods of dynamic system.We deduce the improved iterative formulas and make corresponding theoretical proofs for quadratic convergence.The numerical experiment show the advantage and efficiency of the improved iterative method.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第23期212-218,共7页
Mathematics in Practice and Theory
基金
天津市自然科学基金(06YFJMJC12500)
中国民航大学科研基金(06kys08)
关键词
重根
非线性方程
动力系统
迭代方法
二次收敛
multiple root
nonlinear equation
dynamic system
iterative method
quadratic convergence
