摘要
给出一种求解非线性方程的新迭代算法:指数迭代法,即用exk+1=φ(xk)(k=0,1,2,…)进行迭代,它是对简单迭代法的延托扩展.同时给出迭代函数收敛性判断条件和误差估计式.最后进行了数值实验,计算结果表明该方法是非常有效的.
A new iterative algorithm called exponential iterative method is provided for solving nonlinear equations. In this algorithm,exk ＋ 1= φ（ xk）（ k = 0,1,2,…） was used to do the iterative,and it is an extension of the simple iterative method. Meanwhile,the judgment condition of the iteration function convergence and the error estimation formula were given. Finally,the numerical experiment was conducted and the calculation results show that the method is very effective.
出处
《西安文理学院学报（自然科学版）》
2015年第3期31-34,共4页
Journal of Xi’an University(Natural Science Edition)
基金
西安财经学院科研基金项目(13XCK02)
关键词
指数迭代法
非线性方程
收敛速度
exponential iterative method
nonlinear equation
convergence rate
