| 样条型矩阵有理插值 |
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| 引用本文： | 杨松林.样条型矩阵有理插值[J].苏州大学学报(医学版),2001,17(3):7-11. |
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| 作者姓名： | 杨松林 |
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| 作者单位： | 杨松林（苏州大学理学院数学系,江苏,苏州,215006） |
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| 摘 要： | 矩阵值有理插值在部分实现问题和系统线性理论的模型简化问题中起重要的作用，顾传青给出了矩阵值有理插值的Lagrange基形式，我们根据基样条插值的性质构造了一种样条型的矩阵值有理插值，这种插值形式避免了高次Lagrange多项式插值的不确定性，给出了一种实用的公式。
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| 关 键 词： | 样条函数 基样条插值 矩阵值有理插值 Lagrange基形式 多项式插值 矩阵函数 |
| 文章编号： | 1000-2073(2001)03-0007-05 |
Spline-form matrix valued rational interpolation |
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| YANG Song-lin.Spline-form matrix valued rational interpolation[J].Journal of Suzhou University(Natural Science),2001,17(3):7-11. |
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| Authors: | YANG Song-lin |
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| Abstract: | The matrix valued rational interpolation is very useful in the partial realization problem and model reduction for all the linear system theory.Matrix valued rational interpolation for Lagrange basic function was given by Gu Chuan qing.In this paper,according to the property of cardinal spline interpolation,we constructed a kind of spline form matrix valued rational interpolation,which based on cardinal spline.This spline form interpolation avoided instability of high order polynomial interpolation and we obtained a useful formula. |
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| Keywords: | spline function cardinal spline interpolation matrix valued rational interpolation |
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