非线性方程的五阶解法(英文)  

A method for solving nonlinear equationswith fifth-order convergence

作　　者：王小瑞[1] 刘喜兰[1] 

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《宝鸡文理学院学报（自然科学版）》2011年第3期1-4,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：Supported by the NNSF(10961020);The Chunhui Project of Chinese Ministry of Education(Z2009-1-81007);The 135 Talent Project of Qinghai Province

摘　　要：目的构造一类新的解非线性方程的五阶解法。方法运用修正的牛顿迭代法。结果构造出五阶修正的迭代方法。结论与牛顿迭代方法和其他迭代方法相比,收敛阶数和计算效率均有提高。Aim To present a new fifth-order method for solving nonlinear equations.Methods A modified Newton iterative method is employed to solve nonlinear equations.Results A new variant of fifth-order iterative method is obtained.Conclusion Compared with Newton’s method and other methods,the order of convergence and the computational efficiency are improved.

关 键 词：牛顿方法 非线性方程 收敛性 

分 类 号：O241.7[理学—计算数学]