Applications of Mathematics

, Volume 44, Issue 4, pp 289–308 | Cite as

Power bounded and exponentially bounded matrices

  • J. J. Koliha
  • Ivan Straškraba


The paper gives a new characterization of eigenprojections, which is then used to obtain a spectral decomposition for the power bounded and exponentially bounded matrices. The applications include series and integral representations of the Drazin inverse, and investigation of the asymptotic behaviour of the solutions of singular and singularly perturbed differential equations. An example is given of localized travelling waves for a system of conservation laws.

power and exponentially bounded matrices spectral decomposition Drazin inverse singularly perturbed differential equations asymptotic behaviour 


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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 1999

Authors and Affiliations

  • J. J. Koliha
    • 1
  • Ivan Straškraba
    • 2
  1. 1.Department of Mathematics and StatisticsThe University of MelbourneParkvileAustralia
  2. 2.Mathematical InstituteAcademy of Sciences of the Czech RepublicPraha 1Czech Republic

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