On boundary Nevanlinna--Pick interpolation for Carathéodory matrix functions

DOI10.1016/j.laa.2006.12.012zbMath1117.47012OpenAlexW2047944157MaRDI QIDQ880027

Gong-Ning Chen, K. D. A. Boubakar, Yong-jian Hu

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.012

zbMATH Keywords

trigonometric matrix moment problemboundary Nevanlinna-Pick interpolationCarathéodory matrix functionPick block matrixToeplitz block matrix

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 (3)

Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ A multiple point Nevanlinna-Pick type interpolation problem with both interior and boundary data for Carathéodory matrix-valued functions ⋮ Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem

Cites Work

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• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
• Mixed Löwner and Nevanlinna-Pick interpolation
• A unified approach to Loewner and Hankel matrices
• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
• On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
• Solvability condition for a boundary value interpolation problem of Loewner type
• The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• More on Loewner matrices
• Polynomial interpolation and Gaussian quadrature for matrix-valued functions
• Nevanlinna-Pick interpolation with boundary data
• Hamburger moment problem: Parseval equality and \(A\)-singularity
• On tangential \(H_ 2\) interpolation with second order norm constraints
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• The Nevanlinna–Pick Problem for Matrix-Valued Functions
• Orthogonal polynomial matrices on the unit circle
• On boundary interpolation for matrix valued Schur functions
• Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem
• Matrix valued interpolation and truncated Hamburger moment problems

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