| 散乱数据插值的迭代算法 |
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| 引用本文： | 钟尔杰.散乱数据插值的迭代算法[J].电子科技大学学报(社会科学版),2001(1). |
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| 作者姓名： | 钟尔杰 |
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| 作者单位： | 电子科技大学应用数学系!成都 |
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| 摘 要： | 推广了折线样条插值中泛函极小问题的数学模型。将二次泛函离散化后用罚函数方法处理约束条件，根据最优性条件导出五点差分格式，证明了迭代法求解大型方程组的收敛定理。数值计算实例说明该方法解决散乱数据插值问题的有效性。
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| 关 键 词： | 二次泛函 罚函数 差分格式 迭代法 |
Iteration Method for Interpolation of Scattered Data |
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| Zhong Erjie.Iteration Method for Interpolation of Scattered Data[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2001(1). |
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| Authors: | Zhong Erjie |
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| Abstract: | Minimum problems of functional about polygon spline interpolation are extended in this paper, which treat the constraints with penalty function method after quadratic functional being discreted. Five-point difference schemes are obtained according to optimal condition. The convergence theorem shows that iteration method can be used to solve large systems. Through a computation example, the method is proved to be available to solve the problems about interpolation of scattered data. |
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| Keywords: | quadratic functional penalty function difference scheme iteration method |
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