Numerische Mathematik

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

Matrix Inequalities

  • Miroslav Fiedler
Article

Keywords

Mathematical Method 

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References

  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
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    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
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    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

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