| 非线性方程的五阶解法(英文) |
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| 引用本文： | 王小瑞,刘喜兰. 非线性方程的五阶解法(英文)[J]. 宝鸡文理学院学报(自然科学版), 2011, 31(3): 1-4. DOI: 61-1290/N.20110921.1135.003 |
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| 作者姓名： | 王小瑞 刘喜兰 |
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| 作者单位： | 青海民族大学数学与统计学院,青海西宁,810007 |
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| 基金项目： | Supported by the NNSF(10961020); The Chunhui Project of Chinese Ministry of Education(Z2009-1-81007); The 135 Talent Project of Qinghai Province |
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| 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。
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| 关 键 词： | 牛顿方法 非线性方程 收敛性 |
A method for solving nonlinear equationswith fifth-order convergence |
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| WANG Xiao-rui,LIU Xi-lan. A method for solving nonlinear equationswith fifth-order convergence[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2011, 31(3): 1-4. DOI: 61-1290/N.20110921.1135.003 |
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| Authors: | WANG Xiao-rui LIU Xi-lan |
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| Affiliation: | WANG Xiao-rui,LIU Xi-lan(Department of Mathematics and Statistics,Qinghai University for Nationalities,Xining 810007,Qinghai,China) |
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| Abstract: | 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. |
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| Keywords: | Newton's method nonlinear equation convergence |
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