Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem

• Yamamoto Yusaku

  The University of Electro-Communications JST CREST

• Lan Zhang

  Kobe University

• Kudo Shuhei

  Kobe University

Abstract

We analyze convergence properties of the parallel classical block Jacobi method for the symmetric eigenvalue problem using dynamic ordering strategy of Bečka et al. It is shown that the method is globally convergent. It is also shown that the order of convergence is ultimately quadratic if there are no multiple eigenvalues.

Journal

• JSIAM Letters

  JSIAM Letters 6 (0), 57-60, 2014

  The Japan Society for Industrial and Applied Mathematics

Keywords

• symmetric eigenvalue problem
• Jacobi method
• parallel computing

Details

• CRID: 1390001205300237824
• NII Article ID: 130004713955
• DOI: 10.14495/jsiaml.6.57
• ISSN: 18830617
• ISSN: 18830609
• ISSN: http://id.crossref.org/issn/18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/6/0/6_57/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed