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Simultaneous Newton’s Iteration for the Eigenproblem

  • Françoise Chatelin
Part of the Computing Supplementum book series (COMPUTING, volume 5)

Abstract

For an ill-conditioned eigenproblem (close eigenvalues and/or almost parallel eigenvectors) it is advisable to group some eigenvalues and to compute a basis of the corresponding invariant subspace. We show how Newton’s method may be used for the iterative refinement of an approximate invariant subspace.

Keywords

Eigenvalue Problem Invariant Subspace Bounded Linear Operator Multigrid Method Iterative Refinement 
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-Verlag 1984

Authors and Affiliations

  • Françoise Chatelin
    • 1
  1. 1.Université de Paris IX - Dauphine visiting IBM Développement ScientifiqueParisFrance

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