Extrapolation techniques for ill-conditioned linear systems

نویسندگان

  • Claude Brezinski
  • Michela Redivo-Zaglia
  • Giuseppe Rodriguez
  • Sebastiano Seatzu
چکیده

In this paper, the regularized solutions of an ill{conditioned system of linear equations are computed for several values of the regularization parameter. Then, these solutions are extrapolated at = 0 by various vector rational extrapolations techniques built for that purpose. These techniques are justiied by an analysis of the regularized solutions based on the singular value decomposition and the generalized singular value decomposition. Numerical results illustrate the eeectiveness of the procedures.

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عنوان ژورنال:
  • Numerische Mathematik

دوره 81  شماره 

صفحات  -

تاریخ انتشار 1998