On degenerate interpolation, entropy and extremal problems for matrix Schur functions
type: Item
instance of: scholarly article
title: On degenerate interpolation, entropy and extremal problems for matrix Schur functions
zbMATH Open document ID: 0922.47009
DOI: 10.1007/BF01194989
author: Harry Dym
author: Vladimir Bolotnikov
published in: Integral Equations and Operator Theory
publication date: 1999-10-11T00:00:00Z
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 1251271
zbMATH Keywords: bitangential interpolation problem
zbMATH Keywords: matrix Schur functions
zbMATH Keywords: Pick matrix
zbMATH Keywords: linear fractional transformations
zbMATH Keywords: maximum entropy
zbMATH Keywords: maximum determinant extension problems
MaRDI profile type: Publication
cites work: Two-sided Nevanlinna-Pick interpolation for a class of matrix-valued functions
cites work: Q4284361
cites work: Q4287394
cites work: On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws
cites work: On a new class of realization formulas and their application
cites work: DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS
cites work: Q3331764
cites work: Scattering Matrices in the Theory of Unitary Extension of Isometric Operators
cites work: Q3219333
cites work: Interpolation of rational matrix functions
cites work: Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
cites work: Degenerate interpolation problems for Nevanlinna pairs
cites work: Q3995393
cites work: Q4317802
cites work: More on maximum entropy interpolants and maximum determinant completions of associated Pick matrices
cites work: Q3840244
cites work: On maximum entropy interpolants and maximum determinant completions of associated Pick matrices
cites work: Q3254327
cites work: Maximum entropy spectral estimation for regular time series of degenerate rank
cites work: On Transformation of Potapov's Fundamental Matrix Inequality
cites work: On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
cites work: Q4317790
cites work: ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
cites work: The radii of a Weyl disk in the matrix Nevanlinna-Pick problem
cites work: Q3222981
cites work: Q4149975
description: scientific article; zbMATH DE number 1251271