Advances in the Hybrid Bi-CG Methods for Linear Systems

• Aihara Kensuke

  東京都市大学情報工学部情報科学科

Bibliographic Information

Other Title

• 連立一次方程式に対する積型Bi-CG 法の発展

Abstract

Large sparse linear systems frequently arise in many fields of scientific computing, and therefore, fast and accurate numerical iterative solvers, such as Krylov subspace methods, have been studied in detail over the years. In particular, the hybrid bi-conjugate gradient (Bi-CG) methods belonging to the Krylov subspace methods are extensively used for solving nonsymmetric systems. In the present paper, we introduce basic concepts and recent advances in the hybrid Bi-CG methods, focusing on stabilizing polynomials that distinguish between specific algorithms.

Journal

• Bulletin of the Japan Society for Industrial and Applied Mathematics

  Bulletin of the Japan Society for Industrial and Applied Mathematics 30 (3), 16-23, 2020-09-24

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390568456340162432
• NII Article ID: 130007961981
• DOI: 10.11540/bjsiam.30.3_16
• ISSN: 24321982
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed