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On the Rutishauser’s Approach to Eigenvalue Problems

  • L. Faybusovich
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 62)

Abstract

We consider the quotient-difference algorithm of H. Rutishauser from the point of view of the realization theory of rational functions. QR-like algorithms of the linear algebra can be thought of as discrete-time dynamical systems on certain classes of matrices. We show that these algorithms induce linear dynamical systems on various manifolds of rational functions. Applications to coding theory are considered.

Keywords

Rational Function Eigenvalue Problem Realization Theory Linear Dynamical System Principal Minor 
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Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • L. Faybusovich
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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