Nongeneric eigenvalue perturbations of Jordan blocks

Linear Algebra and Its Applications

Volumn 273, Issue 1-3, 1998, Pages 45-63

  Ma, Yanyuan ^a   Edelman, Alan ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005441166     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00342-X     Document Type: Article

References (9)

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4. F. Chaitin-Chatelin and V. Frayssé, Lectures on Finite Precision Computations, SIAM, Philadelphia, 1996.
5. A. Edelman, E. Elmroth, and B. Kågström, A geometric approach to perturbation theory of matrices and pencils: Part 2: Stratifications, SIAM J. Math. Anal Appl., to appear.
6. A. Edelman, E. Elmroth, and B. Kågström. A geometric approach to perturbation theory of matrices and matrix pencils: Part 1: Versal deformations, 18:653-692 (1997).
7. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1980.
8. J. Moro, J. V. Burke, and M. L. Overton, On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure, SIAM J. Matrix Anal. Appl., 18:793-817 (1997).
9. L. Reichel and L. N. Trefethen, Eigenvalues and pseudoeigenvalues of Toeplitz matrices. Linear Algebra Appl. 162-164:153-185 (1992).