| 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].高等学校计算数学学报,2005,27(1):1-6. |
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| 作者姓名： | 杨松林 |
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| 作者单位： | 苏州大学数学科学学院,苏州,215006 |
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| 摘 要： | The matrix valued rational interpolation is very useful in the partial realization problem and model reduction for all the linear system theory. Lagrange basic functions have been used in matrix valued rational interpolation. In this paper, according to the property of cardinal spline interpolation, we constructed a kind of spline type matrix valued rational interpolation, which based on cardinal spline. This spline type interpolation can avoid instability of high order polynomial interpolation and we obtained a useful formula.
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| 关 键 词： | 有理插值 矩阵 样条 |
| 修稿时间： | 2000年12月9日 |
SPLINE-TYPE MATRIX VALUED RATIONAL INTERPOLATION |
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| Yang Songlin.SPLINE-TYPE MATRIX VALUED RATIONAL INTERPOLATION[J].Numerical Mathematics A Journal of Chinese Universities,2005,27(1):1-6. |
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| Authors: | Yang Songlin |
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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. Lagrange basic functions have been used in matrix valued rational interpolation. In this paper, according to the property of cardinal spline interpolation, we constructed a kind of spline type matrix valued rational interpolation, which based on cardinal spline. This spline type interpolation can avoid 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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