On the multiple Nevanlinna–Pick interpolation problems in some matrix-valued function classes

Someintrinsicone-to-onecorrespondencesbetweenthesolutionstothemultipleNevanl- inna–Pick interpolation problems and the solutions to the associated truncated power/trigonometric moment problems are established. The solvability criteria for the interpolation problems are given. The method used in the...

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 399; pp. 71 - 90
Main Author: Wu, Huazhang
Format: Journal Article Conference Proceeding
Language:English
Published: New York, NY Elsevier Inc 01.04.2005
Elsevier Science
Subjects:
Algebra
Carathéodory class
Carathéodory–Fejer problem
Exact sciences and technology
Hankel block-vector
Linear and multilinear algebra, matrix theory
Mathematics
Moment problem
Nevanlinna class
Nevanlinna–Pick problem
Sciences and techniques of general use
Stieltjes class
Toeplitz block-vector
Carathéodory–Fejer problem
Hankel block-vector
47A57
Nevanlinna–Pick problem
30E05
Nevanlinna class
Stieltjes class
Moment problem
Carathéodory class
Toeplitz block-vector
47A57 Nevanlinna-Pick problem
Carathéodory Fejer problem
Nevanlinna Pick problem
Toeplitz matrix
Matrix function
Multiple solution
Stieltjes transformation
Solvability
Carathéodory-Fejer problem
ISSN:0024-3795, 1873-1856
Online Access:Get full text
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Summary:Someintrinsicone-to-onecorrespondencesbetweenthesolutionstothemultipleNevanl- inna–Pick interpolation problems and the solutions to the associated truncated power/trigonometric moment problems are established. The solvability criteria for the interpolation problems are given. The method used in the paper is the so-called Hankel/Toeplitz block-vector approach.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2004.06.012