• DocumentCode
    531925
  • Title

    A trace inequality for the column spaces of the matrices

  • Author

    Ma, Ying ; Wang, Shiqing

  • Author_Institution
    Coll. of Math. & Inf. Sci., North China Univ. of Water Resources & Electr. Power, Zhengzhou, China
  • Volume
    1
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Abstract
    Trace inequalities naturally arise in control theory and in communication systems with multiple input and multiple output. One application of Belmega´s (2009) trace inequality has already been identified. Wang (2010[8]) extend the symmetric positive definite matrices of his inequality to symmetric nonnegative definite matrices, and the inverse matrices to Penrose-Moore inverse matrices. However, the conditions of his theorems are too strong, and suitable aspect is narrow. In this paper, we give more weaken conditions.
  • Keywords
    matrix algebra; Penrose-Moore inverse matrix; column space; communication system; control theory; symmetric nonnegative definite matrix; symmetric positive definite matrix; trace inequality; Barium; Penrose-Moore inverse matrix; column space; generalized inverse matrix; symmetric nonnegative definite matrix; symmetric positive definite matrix; trace inequality;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Application and System Modeling (ICCASM), 2010 International Conference on
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4244-7235-2
  • Electronic_ISBN
    978-1-4244-7237-6
  • Type

    conf

  • DOI
    10.1109/ICCASM.2010.5619147
  • Filename
    5619147