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Factorization Algorithm for Some Special Non-rational Matrix Functions

  • Ana C. Conceição
  • Viktor G. Kravchenko
  • José C. Pereira
Part of the Operator Theory: Advances and Applications book series (OT, volume 202)

Abstract

We construct an algorithm that allows us to determine an effective generalized factorization of a special class of matrix functions. We use the same algorithm to analyze the spectrum of a self-adjoint operator which is related to the obtained generalized factorization.

Keywords

Generalized factorization inner function algorithm 

Mathematics Subject Classification (2000)

Primary 47A68 Secondary 47A10 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • Ana C. Conceição
    • 1
  • Viktor G. Kravchenko
    • 1
  • José C. Pereira
    • 1
  1. 1.Departamento de MatemáticaUniversidade do AlgarveFaroPortugal

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