• DocumentCode
    2411772
  • Title

    Existence and uniqueness of optimal matrix scalings

  • Author

    Balakrishnan, V. ; Boyd, S.

  • Author_Institution
    Dept. of Electr. Eng., Stanford Univ., CA, USA
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    2010
  • Abstract
    The authors show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an irreducible matrix, they derive a sufficient condition for the uniqueness of the optimal scaling
  • Keywords
    matrix algebra; optimisation; diagonal similarity scalings; existence; irreducible matrix; optimal matrix scalings; scaled singular value minimization; uniqueness; Artificial intelligence; Contracts; Information systems; Laboratories; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371445
  • Filename
    371445
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2411772