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

DOI10.1016/J.LAA.2004.06.012zbMath1085.30033OpenAlexW2008966378MaRDI QIDQ1772721

Huazhang Wu

Publication date: 21 April 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.012

zbMATH Keywords

moment problemNevanlinna classStieltjes classNevanlinna-Pick problemCarathéodory-Fejér problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (1)

A multiple point Nevanlinna-Pick type interpolation problem with both interior and boundary data for Carathéodory matrix-valued functions

Cites Work

• On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
• The commutant lifting approach to interpolation problems
• The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• The general rational interpolation problem and its connection with the Nevanlinna-Pick interpolation and power moment problem
• The partial trigonometric moment problem on an interval: The matrix case
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
• The description of all solutions of the truncated power moment problem and some problems of operator theory
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