On the implementation of some residual minimizing Krylov space methods

  • M. Rozložník
  • Z. Strakoš
Contributed Papers

DOI: 10.1007/3-540-60609-2_32

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1012)
Cite this paper as:
Rozložník M., Strakoš Z. (1995) On the implementation of some residual minimizing Krylov space methods. In: Bartosek M., Staudek J., Wiedermann J. (eds) SOFSEM '95: Theory and Practice of Informatics. SOFSEM 1995. Lecture Notes in Computer Science, vol 1012. Springer, Berlin, Heidelberg

Abstract

Several variants of the GMRES method for solving linear nonsingular systems of algebraic equations are described. These variants differ in building up different sets of orthonormalized vectors used for the construction of the approximate solution. A new ATA-variant of GMRES is proposed and the efficient implementation of the algorithm is discussed.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • M. Rozložník
    • 1
  • Z. Strakoš
    • 1
  1. 1.Institute of Computer ScienceAcademy of Sciences of the Czech RepublicPraha 8Czech Republic

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