• DocumentCode
    1151647
  • Title

    Analysis of Pairwise Pivoting in Gaussian Elimination

  • Author

    Sorensen, Danny C.

  • Author_Institution
    Division of Mathematics and Computer Science, Argonne National Laboratory
  • Issue
    3
  • fYear
    1985
  • fDate
    3/1/1985 12:00:00 AM
  • Firstpage
    274
  • Lastpage
    278
  • Abstract
    The method of Gaussian elimination using triangularization by elementary stabilized matrices constructed by pairwise pivoting is analyzed. It is shown that a variant of this scheme which is suitable for implementation on a paralle computer is numerically stable although the bound is larger than the one for the standard partial pivoting algorithm.
  • Keywords
    Error analysis; linear equations; parallel computation; systolic array; Concurrent computing; Equations; Error analysis; Helium; History; Linear algebra; Linear systems; Scientific computing; Stability analysis; Systolic arrays; Error analysis; linear equations; parallel computation; systolic array;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1985.1676570
  • Filename
    1676570