Lecture 5

  • Eugene E. Tyrtyshnikov


The statements of the corollaries of the Bauer-Fike theorem are “nonsymmetric” with respect to A and A + F: the matrix A + F, in contrast to A, can be nondiagonalizable or have different orders of Jordan blocks. We might be interested in “symmetric” theorems, which estimate some distance between the spectra of matrices.


Hermitian Matrix Permutational Matrix Jordan Block Stochastic Matrix Permutational Matrice 
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.
    G. W. Stewart and J. Sun. Matrix Perturbation Theory. Academic Press, 1990.Google Scholar
  2. 2.
    E. E. Tyrtyshnikov. A unifying approach to some old and new theorems on distribution and clustering. Linear Algebra Appl. 323: 1–43 (1996).MathSciNetCrossRefGoogle Scholar
  3. 3.
    E. E. Tyrtyshnikov and N. L. Zamarashkin. On eigen and singular value clusters, Calcolo (1997).Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Eugene E. Tyrtyshnikov
    • 1
  1. 1.Institute of Numerical MathematicsRussian Academy of SciencesMoscowRussia

Personalised recommendations