| 两种改进Lagrange插值格式的对比分析 |
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| 引用本文： | 钱凌志,郭瑞.两种改进Lagrange插值格式的对比分析[J].兵团教育学院学报,2011,21(1):79-81. |
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| 作者姓名： | 钱凌志 郭瑞 |
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| 作者单位： | 石河子大学师范学院/兵团教育学院; |
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| 摘 要： | 本文基于Lagrange插值多项式,给出了两种改进的Lagrange插值格式：Aitken插值和重心Lagrange插值。从算法的复杂性及数值稳定性两个方面进行了比较分析,结果表明重心形式的Lagrange插值是最优的。文末给出数值试验表明算法的有效性。
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| 关 键 词： | Lagrange插值 改进格式 数值稳定性 数值实验 |
Comparison and Analysis of Two Improved Schemes for Lagrange Interpolation |
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| QAIN Ling-zhi,GUO Rui.Comparison and Analysis of Two Improved Schemes for Lagrange Interpolation[J].Journal of Bingtuan Education Institute,2011,21(1):79-81. |
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| Authors: | QAIN Ling-zhi GUO Rui |
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| Institution: | QAIN Ling-zhi,GUO Rui(Teachers College,Shihezi University / Bingtuan Education Institute,Shihezi,Xinjiang 832003,China) |
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| Abstract: | Based on the Lagrange interpolation polynomial,two improved schemes for the Lagrange interpolation are proposed:Aitken interpolation and barycentric Lagrange interpolation.We compare the above schemes from the aspects of complexity and numerical stability.The results show that the barycentric Lagrange interpolation is optimal.In the end,we give the numerical experiments,and the numerical results implying the efficiency of the new scheme. |
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| Keywords: | Lagrange interpolation improved scheme numerical stability numerical test |
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