• DocumentCode
    847310
  • Title

    A trace inequality for matrix product

  • Author

    Lasserre, Jean B.

  • Author_Institution
    Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
  • Volume
    40
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    1500
  • Lastpage
    1501
  • Abstract
    We extend to arbitrary Hermitian matrices, a well-known trace inequality for positive semidefinite matrices. When using this result for the product of two matrices when only one is Hermitian, we improve a recent trace inequality given by Fanf et al. (1994)
  • Keywords
    Hermitian matrices; eigenvalues and eigenfunctions; Hermitian matrices; eigenvalues; matrix product; positive semidefinite matrices; trace inequality; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.402252
  • Filename
    402252
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=847310