Subspace iteration by the residual vectors for the eigenvalue problem Aχ=λχ

DOI 1 Citations 10 References

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Other Title
  • 残差ベクトルを用いた標準固有値問題の部分空間解法

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Description

This paper proposes an iterative method of finding only a few lower eigenvalues and the corresponding eigenvectors for the eigenproblem Ax=λx. The convergence of the proposed method, using the orthogonality between approximate eigenvectors and their residual vectors, is based on the Rayleigh-Ritz method and the inverse power method. The method computes the best approximation of eigenvectors in the subpace, spanned by approximate eigenvectors and linear transformations of their residual vectors, and improves approximate eigenvectors by increasing the number of basic vectors in the subspace iteratively.

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Details 詳細情報について

  • CRID
    1390282680744848128
  • NII Article ID
    110001883590
  • NII Book ID
    AN10367166
  • DOI
    10.11540/jsiamt.4.4_299
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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