| 基于广义逆的多元矩阵有理插值 |
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| 引用本文： | 顾传青. 基于广义逆的多元矩阵有理插值[J]. 高等学校计算数学学报, 1997, 19(3): 241-250 |
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| 作者姓名： | 顾传青 |
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| 作者单位： | 上海大学数学系 上海200072 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文借助于文[5]给出的一种矩阵广义逆，构造了二元Stieltjes型矩阵连分式的截断连分式，以此首次定义了平面上拟三角形网格上的二元矩阵有理插道值函数。文中给出了存在性的一个有用的判别条件。重要的特征定理和唯一性定理得到证明，并借助了实例说明了本文的结果。
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| 关 键 词： | 广义逆 多元矩阵 有理插值 矩阵 |
MULTIVARIATE GENERALIZED INVERSE MATRIX VALUED RATIONAL INTERPOLATIONS |
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| Gu Chuanqing. MULTIVARIATE GENERALIZED INVERSE MATRIX VALUED RATIONAL INTERPOLATIONS[J]. Numerical Mathematics A Journal of Chinese Universities, 1997, 19(3): 241-250 |
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| Authors: | Gu Chuanqing |
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| Affiliation: | Shanghai University |
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| Abstract: | In this paper,the convergences of bivariate Stieltjes type matrix valued continued fractions are constructed by means of a generalized inverse for a matrix, which was given in paper [5]. Based on it, a kind of bivariate matrix valued rational interpolating function is first defined over approximate triangle grids. A useful discriminating condition of existence for the interpolation problem is obtained, important characterisation theorem and uniqueness theorem are proved. The results in the paper are verified by some examples. |
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| Keywords: | Generalized inverse multivariate matrix valued rational interpolants. |
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