• DocumentCode
    754679
  • Title

    An inequality for the trace of matrix product

  • Author

    Baksalary, Jerzy K. ; Puntanen, Simo

  • Author_Institution
    Dept. of Math., Tadeusz Kotarbinski Pedagogical Univ., Zielona Gora, Poland
  • Volume
    37
  • Issue
    2
  • fYear
    1992
  • fDate
    2/1/1992 12:00:00 AM
  • Firstpage
    239
  • Lastpage
    240
  • Abstract
    New bounds for the trace of the product of an arbitrary real matrix A and a nonnegative definite symmetric matrix B are derived. In each case where the symmetric part of A is an indefinite matrix, these bounds are substantial improvements over the bounds known in the literature
  • Keywords
    matrix algebra; inequality; matrix product; nonnegative definite symmetric matrix; trace; Eigenvalues and eigenfunctions; Least squares approximation; Linear matrix inequalities; Mathematics; Riccati equations; Symmetric matrices; Time varying systems; Tin; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.121626
  • Filename
    121626