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| 广义块Pick型矩阵和带导数的Nevanlinna-Pick矩阵插值问题 | |
| 引用本文： | 陈公宁,胡永建.广义块Pick型矩阵和带导数的Nevanlinna-Pick矩阵插值问题[J].北京师范大学学报(自然科学版),1998(3). |
| 作者姓名： | 陈公宁 胡永建 |
| 作者单位： | 北京师范大学数学系!北京，100875，北京师范大学数学系!北京，100875 |
| 摘 要： | 建立了广义块Pick型矩阵和块Toeplitz矩阵之间的一种等价关系，并将其用于求解一类带导数的Nevanlinna-Pick矩阵插值问题 |
| 关 键 词： | 广义块Pick型矩阵 块Toeplitz矩阵 Nevanlinna-Pick插值 Caratheodory矩阵值函数类 矩量 Toeplitz块向量 |
THE GENERALIZED BLOCK-PICK TYPE MATRICES AND NEVANLINNA-PICK INTERPOLATION WITH MULTIPLE DERIVATIVES |
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| Chen Gongning, Hu Yongjiang.THE GENERALIZED BLOCK-PICK TYPE MATRICES AND NEVANLINNA-PICK INTERPOLATION WITH MULTIPLE DERIVATIVES[J].Journal of Beijing Normal University(Natural Science),1998(3). | |
| Authors: | Chen Gongning Hu Yongjiang |
| Abstract: | A more general relation between the generalized block-Pick type matrices and block-Toeplitz matrices is established and used to solve a class of Nevanlinna-Pick matrixinterpolation problems with multiple derivatives. |
| Keywords: | generalized block-Pick matrix block-Toeplitz matrix Nevalinna-Pick interpolation Caratheodory matrix- valued function class moment Toeplitz block vector |
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