The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
文献类型：期刊论文
| 作者 | Chen, GN; Li, XQ |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 1999-02-01 |
| 卷号 | 288期号:1-3页码:123-148 |
| 关键词 | Nevanlinna-Pick interpolation problem power moment problem Nevanlinna class Stieltjes class Block Hankel vector Stieltjes moment problem |
| ISSN号 | 0024-3795 |
| 英文摘要 | This paper is concerned with the study of several types of matrix interpolation problems, including The matrix Nevanlinna-Pick interpolation problem in the Nevanlinna class N-p, The matrix Nevanlinna-Pick interpolation problem in the Stieltjes class L-p, The truncated matrix power moment problem on the real axis, The Stieltjes matrix power moment problem. We use the so-called block Hankel vector approach for the treatment of these problems and make explicit the correspondence between solutions to the Nevanlinna-Pick interpolation problem and solutions to an associated power moment problem with the block Hankel vector under consideration. This enables one not only to find existence criteria for the solutions of the Nevanlinna-Pick interpolation problem, but also to describe the solutions based on the results of power moment problem, and vice versa. (C) 1999 Elsevier Science Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000078302300010 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14234]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, GN |
| 作者单位 | 1.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, GN,Li, XQ. The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,1999,288(1-3):123-148. |
| APA | Chen, GN,&Li, XQ.(1999).The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions.LINEAR ALGEBRA AND ITS APPLICATIONS,288(1-3),123-148. |
| MLA | Chen, GN,et al."The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions".LINEAR ALGEBRA AND ITS APPLICATIONS 288.1-3(1999):123-148. |
入库方式： OAI收割
来源：数学与系统科学研究院
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