| 单切矩阵Nevanlinna-Pick插值问题 |
| |
| 引用本文： | 金巴,胡永建.单切矩阵Nevanlinna-Pick插值问题[J].北京师范大学学报(自然科学版),2005,41(5):469-472. |
| |
| 作者姓名： | 金巴 胡永建 |
| |
| 作者单位： | 北京师范大学数学科学学院,100875,北京;北京师范大学数学科学学院,100875,北京 |
| |
| 摘 要： | 证明了单切矩阵Nevanlinna-Pick插值问题的Pick矩阵合同等价于一个块Toeplitz矩阵.利用这个结果,将求解一个单切矩阵Nevanlinna-Pick插值问题转化求解某个截断的三角矩阵值矩量问题.
|
| 关 键 词： | 单切矩阵Nevanlinna-Pick插值 Pick矩阵 块Toeplitz矩阵 Vandermonde型矩阵 三角矩阵值矩量问题 |
| 收稿时间： | 2005-01-16 |
| 修稿时间： | 2005年1月16日 |
ON SINGLE TANGENTIAL MATRIX NEVANLINNA-PICK INTERPOLATION PROBLEM |
| |
| Kimba d.A. Boubakar,Hu Yongjian.ON SINGLE TANGENTIAL MATRIX NEVANLINNA-PICK INTERPOLATION PROBLEM[J].Journal of Beijing Normal University(Natural Science),2005,41(5):469-472. |
| |
| Authors: | Kimba dA Boubakar Hu Yongjian |
| |
| Institution: | School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China |
| |
| Abstract: | This paper proves that the Pick matrix determined by the interpolation data of a single tangential matrix Nevanlinna-Pick interpolation problem is congruent and equivalent to a block Toeplitz matrix. On basis of this result, the solution of a single tangential matrix Nevanlinna-Pick interpolation problem is reduced to the solution of a certain truncated matrix trigonometric mnment problem. |
| |
| Keywords: | single tangential matrix Nevanlinna-Pick interpolation Pick matrix block Toeplitz matrix Vandermonde type matrix trigonometric matrix moment problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
