Power bounded and exponentially bounded matrices.
type: Item
instance of: scholarly article
title: Power bounded and exponentially bounded matrices.
zbMATH Open document ID: 1060.34506
DOI: 10.1023/A:1023032629988
author: J. J. Koliha
author: I. Straškraba
published in: Applications of Mathematics
publication date: 2005-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/33035
review text: The authors prove spectral decompositions for the power and exponentially bounded matrices and apply these results to obtain series and integral representations of the Drazin inverse and to describe the asymptotic behaviour of solutions of linear ordinary differential equations, including the singular and singularly perturbed ones. An example of localized travelling waves for a system of conservation laws is given. In the proofs a new characterization of eigenprojections obtained in the paper is utilized.
reviewed by: Milan Tvrdý
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2165524
zbMATH Keywords: power and exponentially bounded matrices
zbMATH Keywords: spectral decomposition
zbMATH Keywords: Drazin inverse
zbMATH Keywords: singularly perturbed differential equations
zbMATH Keywords: asymptotic behaviour
MaRDI profile type: Publication
cites work: Q3852479
cites work: Q5543004
cites work: Resonance for quasilinear hyperbolic equation
cites work: Q4200184
cites work: A Representation of the Drazin Inverse and Characterizations of the Index
cites work: Resolvent expansions of matrices and applications
cites work: Expansions of Sums of Matrix Powers
OpenAlex ID: W111181272
description: scientific article; zbMATH DE number 2165524