三步五阶迭代方法解非线性方程组
THE FIFTH ORDER OF THREE-STEP ITERATIVE METHODS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS
查看参考文献14篇
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文摘
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本文根据求积公式, 给出了三种求解非线性方程组的迭代方法, 并证明了所提出的三步迭代方法具有五阶收敛性. 最后给出了四个数值实例, 将本文的实验结果与现有的几种迭代方法的实验结果作了比较分析, 表明本文所提出的方法具有明显的优越性. |
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其他语种文摘
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In this paper, we present and analyze three new three-step iterative methods for solving the system of nonlinear equations using quadrature formulas. We prove that these new methods are of the convergence of fifth order. Some numerical examples are given to show that the new methods outperform the other existing methods. |
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来源
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计算数学
,2013,35(3):297-304 【核心库】
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关键词
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非线性方程组
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求积公式
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牛顿迭代
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Newton-Cotes公式
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收敛阶
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地址
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合肥工业大学数学学院, 合肥, 230009
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0254-7791 |
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学科
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数学 |
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基金
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国家自然科学基金-广东联合基金
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国家自然科学基金项目
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文献收藏号
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CSCD:4918251
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参考文献 共
14
共1页
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1.
Sharma J R. An efficient fourth order weighted-Newton method for systems of nonlinear equations.
Numerical Algorithms,2013,62(2):307-323
|
CSCD被引
4
次
|
|
|
|
|
2.
Golbabai A. A new family of iterative methods for solving system of nonlinear algebric equations.
Applied Mathematics and Computation,2007,190(2):1717-1722
|
CSCD被引
6
次
|
|
|
|
|
3.
Darvishi M T. Super cubic iterative methods to solve systems of nonlinear equations.
Applied Mathematics and Computation,2007,188(2):1678-1685
|
CSCD被引
8
次
|
|
|
|
|
4.
Babajee D K R. A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule.
Applied Mathematics and Computation,2008,200(1):452-458
|
CSCD被引
6
次
|
|
|
|
|
5.
Khirallah M Q. Novel three order methods for solving a system of nonlinear equations.
Bulletin of Society for Mathematical Services and Standards,2012,1(2):1-14
|
CSCD被引
4
次
|
|
|
|
|
6.
Hafiz M A. An efficient two-step iterative method for solving system of nonlinear equations.
Journal of Mathematics Research,2012,4(4):28-34
|
CSCD被引
3
次
|
|
|
|
|
7.
Cordero A. Variants of Newton's method using fifth-order quadrature formulas.
Applied Mathematics and Computation,2007,190(1):686-698
|
CSCD被引
13
次
|
|
|
|
|
8.
Noor M A. Some iterative methods for solving a system of nonlinear equations.
Computers and Mathematics with Applications,2009,57(1):101-106
|
CSCD被引
10
次
|
|
|
|
|
9.
代璐璐. 两种解非线性方程组的四阶迭代方法.
数值计算与计算机应用,2012,33(2):121-128
|
CSCD被引
4
次
|
|
|
|
|
10.
Ortega J M.
Iterative solution of nonlinear equations in several variables,1970
|
CSCD被引
109
次
|
|
|
|
|
11.
Podisuk M. Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation.
Applied Mathematics and Computation,2007,190(2):1438-1444
|
CSCD被引
4
次
|
|
|
|
|
12.
Cordero A. Increasing the convergence order of an iterative method for nonlinear systems.
Applied Mathematics Letters,2012,25(12):2369-2374
|
CSCD被引
4
次
|
|
|
|
|
13.
Cordero A. A modified Newton-Jarratt's composition.
Numerical Algorithms,2010,55(1):87-99
|
CSCD被引
3
次
|
|
|
|
|
14.
何翠杰. 三步迭代求解非线性方程组.
新疆大学学报: 自然科学版,2010,27(1):51-55
|
CSCD被引
1
次
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