A Faddeev sequence method for solving Lyapunov and Sylvester equations
type: Item
instance of: scholarly article
title: A Faddeev sequence method for solving Lyapunov and Sylvester equations
zbMATH Open document ID: 0859.65038
DOI: 10.1016/0024-3795(95)00683-4
author: B. Hanzon
author: Ralf Peeters
published in: Linear Algebra and its Applications
publication date: 1997-03-25T00:00:00Z
review text: The paper introduces new methods for solving linear equations of the form \(AP+PB=K\) and \(P-APB=K\). No use of Kronecker products is made, the methods are finite and are based on the Faddeev method for matrix inversion.
reviewed by: F. Szidarovszky
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 931897
zbMATH Keywords: direct methods
zbMATH Keywords: Faddeev sequence
zbMATH Keywords: Lyapunov matrix equation
zbMATH Keywords: Sylvester matrix equation
zbMATH Keywords: Faddeev method
zbMATH Keywords: matrix inversion
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)00683-4
OpenAlex ID: W2073038832
cites work: Q4881608
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cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
cites work: Balanced realizations: canonical form, parametrization, model reduction
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cites work: Formulae for the solution of Lyapunov matrix equations
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description: scientific article; zbMATH DE number 931897