A Krylov subspace method for shifted linear systems and its application to eigenvalue problems

• OGASAWARA Masashi

  Cross Cat Co., Ltd.

• TADANO Hiroto

  Doctoral program in Systems and Information Engineering, University of Tsukuba

• SAKURAI Tetsuya

  Department of Computer Sciences, University of Tsukuba

• ITOH Shoji

  Department of Computer Sciences, University of Tsukuba

Bibliographic Information

Other Title

• Shifted Linear Systemsに対するKrylov部分空間反復法と固有値問題への応用
• Shifted Linear Systems ニ タイスル Krylov ブブン クウカン ハンプクホウ ト コユウチ モンダイ エ ノ オウヨウ

Abstract

We consider a method to solve several shifted linear systems (A+σl)x = b with shift parameter σ. Krylov subspace for shifted linear systems is not depend on the parameter σ, therefore we can solve several shifted linear systems simultaneously without generating Krylov subspace for each parameter cr. In this paper, we show that shifted linear systems appear in an eigensolver using numerical integration. We applied Krylov subspace methods for shifted linear systems in this eigensolver. We have also presented some numerical examples illustrate the efficiency of the method.

Journal

• Transactions of the Japan Society for Industrial and Applied Mathematics

  Transactions of the Japan Society for Industrial and Applied Mathematics 14 (3), 193-205, 2004

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390001205767073664
• NII Article ID: 110001878255
• NII Book ID: AN10367166
• ISSN: 09172246
• ISSN: 24240982
• DOI: 10.11540/jsiamt.14.3_193
• NDL BIB ID: 7105862
• Web Site: http://id.ndl.go.jp/bib/7105862
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7105862
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed