| 一种收敛较快的迭代法：二次抛物线弦割法 |
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| 引用本文： | 陈玉骥.一种收敛较快的迭代法：二次抛物线弦割法[J].佛山科学技术学院学报(自然科学版),2009,27(5):27-29. |
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| 作者姓名： | 陈玉骥 |
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| 作者单位： | 佛山科学技术学院,土木工程与建筑学系,广东,佛山,528000 |
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| 摘 要： | 按照与传统弦割法类似的思路,提出一种收敛更快的迭代法：二次抛物线弦割法。即用过3点的曲线割线代替过2点的直线割线,进行迭代计算。根据拉格朗日插值函数构造了该法的迭代格式。算例分析表明,二次抛物线弦割法的收敛速度较简单迭代法、牛顿迭代法、单点弦割法和双点弦割法要快得多。
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| 关 键 词： | 迭代法 抛物线 弦割法 收敛 |
An iterative method with fast convergence speed:two-order parabola cut-chord method |
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| CHEN Yu-ji.An iterative method with fast convergence speed:two-order parabola cut-chord method[J].Journal of Foshan University(Natural Science Edition),2009,27(5):27-29. |
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| Authors: | CHEN Yu-ji |
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| Institution: | CHEN Yu-ji(Department of Civil Engineering and Architecture,Foshan University,Foshan 528000,China) |
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| Abstract: | Based on the idea similar to the traditional cut-chord method,an iterative method with greater convergence speed,the two-order parabola cut-chord method,is proposed in the paper.The curve cut line through three points is used to replace the straight cut line through two points for the iterative calculation.The iterative formula proposed in the paper is based on the Lagrange interpolation function.The computations show that the convergence speed of the two-order parabola cut-chord method is much greater than... |
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| Keywords: | iterative method parabola cut-chord method convergence |
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