The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions

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	The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
	Chen, GN ; Li, XQ
	1999-02-01
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	288 期号:1-3 页码:123-148
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.
关键词	Nevanlinna-Pick interpolation problem power moment problem Nevanlinna class Stieltjes class Block Hankel vector Stieltjes moment problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000078302300010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14235
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.