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Abstract
The statements of the corollaries of the Bauer-Fike theorem are “nonsymmetric” with respect toA andA +F: the matrixA +F, in contrast toA, 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.
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References
G. W. Stewart and J. Sun.Matrix Perturbation Theory. Academic Press, 1990.
E. E. Tyrtyshnikov. A unifying approach to some old and new theorems on distribution and clustering.Linear Algebra Appl. 323: 1–43 (1996).
E. E. Tyrtyshnikov and N. L. Zamarashkin. On eigen and singular value clusters,Calcolo (1997).
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Authors and Affiliations
Institute of Numerical Mathematics, Russian Academy of Sciences, Leninski Prospekt 32A, 117 334, Moscow, Russia
Eugene E. Tyrtyshnikov
- Eugene E. Tyrtyshnikov
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© 1997 Springer Science+Business Media New York
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Tyrtyshnikov, E.E. (1997). Lecture 5. In: A Brief Introduction to Numerical Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8136-4_5
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Print ISBN:978-1-4612-6413-2
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