A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction
type: Item
instance of: scholarly article
title: A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction
zbMATH Open document ID: 1169.47009
author: Daniel Alpay
author: Andrey Melnikov
author: Victor Vinnikov
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-06-30T00:00:00Z
review text: An analogue of the Schur algorithm for transfer functions of lossless \(2D\) systems which are invariant with respect to one of the variables is defined. To do this, the class \({\mathcal C} I\) and the vectorial Schur algorithm are defined. Then the Schur algorithm in the class \({\mathcal C}I\) is analysed. The results permit to define the interpolation Nevanlinna--Pick problems type in the case of the class \({\mathcal C}I\).
reviewed by: Ilie Valuşescu
Mathematics Subject Classification ID: 47A48
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 5571953
zbMATH Keywords: Schur algorithm
zbMATH Keywords: transfer function
zbMATH Keywords: over-determined system
MaRDI profile type: Publication
full work available at URL: j.crma.2009.04.029
OpenAlex ID: W2070893007
cites work: Q3838498
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cites work: Schur Parametrization of Positive Definite Block-Toeplitz Systems
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DOI: 10.1016/J.CRMA.2009.04.029
description: scientific article; zbMATH DE number 5571953