残差ベクトルを用いた標準固有値問題の部分空間解法

書誌事項

タイトル別名
  • Subspace iteration by the residual vectors for the eigenvalue problem Aχ=λχ

この論文をさがす

説明

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.

収録刊行物

被引用文献 (1)*注記

もっと見る

参考文献 (10)*注記

もっと見る

詳細情報 詳細情報について

  • CRID
    1390282680744848128
  • NII論文ID
    110001883590
  • NII書誌ID
    AN10367166
  • DOI
    10.11540/jsiamt.4.4_299
  • ISSN
    24240982
  • 本文言語コード
    ja
  • データソース種別
    • JaLC
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

問題の指摘

ページトップへ