Algorithm of \(J\)-factorization of rational matrices with zeros and poles on the imaginary axis
type: Item
instance of: scholarly article
title: Algorithm of \(J\)-factorization of rational matrices with zeros and poles on the imaginary axis
zbMATH Open document ID: 1039.93022
DOI: 10.1155/S0161171203210498
author: V. B. Larin
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50799
review text: The \(J\)-factorization problem for rational matrices with (possibly) zeroes and poles on the imaginary axis is studied. The main focus is on the development of an algorithm for the solution of this \(J\)-factorization problem. Using the connection between the \(J\)-factorization problem and the solution of an algebraic Riccati equation, the author shows that the solution of the \(J\)-factorization problem can be given in terms of the solutions of two algebraic Riccati equations. The developed algorithm is then applied to some examples.
reviewed by: Birgit Jacob
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 2012582
zbMATH Keywords: \(J\)-spectral factorization
zbMATH Keywords: algebraic Riccati equation
zbMATH Keywords: algorithm
MaRDI profile type: Publication
OpenAlex ID: W2045612267
description: scientific article; zbMATH DE number 2012582