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A New Superconvergent Projection Method

  • Rekha P. Kulkarni

Abstract

Let X be a complex Banach space and T be a bounded linear operator defined on X. We are interested in the eigenvalue problem
$$ T\varphi = \lambda \varphi , 0 \ne \lambda \notin C, 0 \ne \varphi \in X. $$

Keywords

Orthogonal Projection Galerkin Method Spectral Approximation Gauss Point Complex Banach Space 
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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References

  1. 1.
    J.E. Osborn, Spectral Approximation for Compact operators, Math. Comp. 29 (1975), 712–725.MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    F. Chatelin, Spectral Approximation of Linear Operators, Academic Press, New York, 1983.MATHGoogle Scholar
  3. 3.
    M. Ahues, A. Largillier, and B.V. Limaye, Spectral Computations for Bounded Operators, Chapman and Hall/CRC, New York, 2001.CrossRefMATHGoogle Scholar
  4. 4.
    R.P. Kulkarni, A new superconvergent projection method for approximate solutions of eigenvalue problems (communicated).Google Scholar
  5. 5.
    R.P. Kulkarni and N. Gnaneshwar, Spectral refinement using a new projection method (communicated).Google Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Rekha P. Kulkarni

There are no affiliations available

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