| 基于三点二次插值的方程求根算法 |
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| 引用本文： | 张天良.基于三点二次插值的方程求根算法[J].南阳师范学院学报,2008,7(12):19-21. |
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| 作者姓名： | 张天良 |
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| 作者单位： | 南京信息工程大学,数理学院,江苏,南京,210044 |
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| 基金项目： | 南京信息工程大学精品课程建设项目
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| 摘 要： | 考虑非线性方程的求根问题,将方程f（x）=0的求根问题转化为求函数g（x）=f（x）]^2极小值的问题.利用优化技术中的三点二次插值法求解,在不需要计算导数的情况下给出一种具有超线性收敛的迭代算法.
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| 关 键 词： | 优化技术 三点二次插值法 方程求根 |
Nonlinear equations root based on three-points quadratic interpolation |
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| ZHANG Tian-liang.Nonlinear equations root based on three-points quadratic interpolation[J].Journal of Nanyang Teachers College,2008,7(12):19-21. |
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| Authors: | ZHANG Tian-liang |
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| Institution: | ZHANG Tian-liang (College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China) |
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| Abstract: | This paper concerns with the problem of solving nonlinear equation.It is shown that solving nonlinear equation f(x)=0 is equivalent to the evaluation extremum of function g(x)=2.Based on three-points quadratic interpolation,an algorithm is provided for solving nonlinear equation. |
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| Keywords: | extract roots using optimization technology three-points quadratic interpolation solving nonlinear equation |
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