• DocumentCode
    1888368
  • Title

    Perturbation analysis for linear systems

  • Author

    Su, Qifang

  • Author_Institution
    Coll. of Math. & Inf. Eng., Taizhou Univ., Taizhou
  • fYear
    2009
  • fDate
    11-12 April 2009
  • Firstpage
    430
  • Lastpage
    433
  • Abstract
    Backward errors and condition numbers play an important role in modern numerical linear algebra. The sensitivity of a solution is measured by the condition number. This paper investigates the sensitivity, backward errors and condition numbers for the linear systems. Furthermore, some computable backward errors and condition numbers are derived both norm wise and componentwise.
  • Keywords
    linear algebra; linear systems; perturbation techniques; backward errors; computable backward errors; linear systems; numerical linear algebra; perturbation analysis; Linear systems; backward error; condition number; linear system;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Analysis and Signal Processing, 2009. IASP 2009. International Conference on
  • Conference_Location
    Taizhou
  • Print_ISBN
    978-1-4244-3987-4
  • Type

    conf

  • DOI
    10.1109/IASP.2009.5054667
  • Filename
    5054667