Journal of Mathematical Sciences

, Volume 89, Issue 6, pp 1631–1651 | Cite as

On normal matrices with normal principal submatrices

  • Kh. D. Ikramov
  • L. Elsner


Let A be a normal n×n matrix. This paper discusses in detail under what conditions and in what way A can be dilated to a normal matrix of order n+1 or n+2. Bibliography: 4 titles.


Normal Matrix Normal Matrice Principal Submatrices 
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  1. 1.
    Kh. D. Ikramov,The Nonsymmetric Eigenvalue Problem [in Russian], Nauka, Moscow (1991).Google Scholar
  2. 2.
    T. Huckle, “The Arnoldi method for normal matrices,”SIAM J. Matrix Anal. Appl.,15, 479–489 (1994).CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    S. H. Friedberg and A. J. Insel, “Hyponormal 2×2 matrices are subnormal,”Linear Algebra Appl.,175, 31–38 (1992).CrossRefMathSciNetGoogle Scholar
  4. 4.
    P. R. Halmos, “Subnormal suboperators and the subdiscrete topology,”Int. Ser. Numer. Math.,65, 49–65 (1984).MATHMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Kh. D. Ikramov
  • L. Elsner

There are no affiliations available

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