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Inner-Outer Factorization and Operator Inversion

  • Patrick Dewilde
  • Alle-Jan van der Veen
Chapter

Abstract

Direct methods to invert large matrices may give undesired “unstable” results. We can obtain valuable insights into the mechanics of this effect by representing the matrix as a time-varying system for which it is the transfer operator. Among other things, this will allow us to handle the instability by translating “unstable” into “anti-causal” yet bounded.

Keywords

Riccati Equation Transfer Operator Maximal Solution Hankel Operator Hankel Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Patrick Dewilde
    • 1
  • Alle-Jan van der Veen
    • 1
  1. 1.DIMESDelft University of TechnologyDelftThe Netherlands

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