摘要
利用方程f(x)=0的同解方程eg(x)f(x)=0的牛顿法公式,构造了求解非线性方程f(x)=0的一些新的迭代法.牛顿法和一些已知的迭代法是新的迭代法的特例.给出几个算例,通过和牛顿法公式计算结果的比较,说明了算法的有效性.
Usi solving nonli methods and ng Newton iterative formula of nonlinear equations , new classes itera near equations are constructed in this paper. This new method includes other iterative methods as special cases. We give several examples and with other iterative methods to illustrate the efficiency of these methods. tive methods for Newton iterative their comparison with other iterative methods to illustrate the efficiency of these methods.
出处
《甘肃联合大学学报(自然科学版)》
2008年第5期21-23,共3页
Journal of Gansu Lianhe University :Natural Sciences
基金
兰州理工大学科研发展基金(SB10200422)
关键词
非线性方程
迭代法
牛顿迭代公式
收敛性
nonlinear equations
iterative methods
newton iterative formula
convergence