Numerische Mathematik

, Volume 9, Issue 2, pp 109–119 | Cite as

Matrix Inequalities

  • Miroslav Fiedler


Mathematical Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Mirski, L.: Inequalities and existence theorems in the theory of matrices. Journal of Math. Anal. and Appl.9, 99–118 (1964).Google Scholar
  2. [2]
    Fiedler, M.: A remark on positive definite matrices (Czech, English summary). Časopis pro pěst. mat.85, 75–77 (1960).Google Scholar
  3. [3]
    —— On inverting partitioned matrices. Czech. Math. Journal13, 574–586 (1963).Google Scholar
  4. [4]
    —— Relations between the diagonal elements of two mutually inverse positive definite matrices. Czech. Math. Journal14, 39–51 (1964).Google Scholar
  5. [5]
    ——, andV. Pták: On matrices with non-positive off-diagonal elements and positive principal minors. Czech. Math. Journal12, 382–400 (1962).Google Scholar
  6. [6]
    Berge, C.: Théorie des graphes et ses applications. Paris: Dunod 1958.Google Scholar
  7. [7]
    Fiedler, M.: Relations between the diagonal elements of anM-matrix and its inverse matrix (Russian, English summary). Mat.-fyz. časopis SAV12, 123–128 (1962).Google Scholar

Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • Miroslav Fiedler
    • 1
  1. 1.Institute of Mathematics ČSAVPrahaČSSR

Personalised recommendations