On the perturbation of analytic matrix functions

Integral Equations and Operator Theory

Volumn 34, Issue 3, 1999, Pages 325-338

  Hryniv, R ^a   Lancaster, P ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040038227     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01300582     Document Type: Article

References (11)

1. Bliss, G. A., Algebraic Functions, Dover, New York, 1966.
2. Gohberg, I., Lancaster, P., Rodman, L., Invariant Subspaces of Matrices with Applications, John Whiley, New York, 1986.
3. Gohberg, I., Lancaster, P., Hodman, L., Perturbations of analytic hermitian matrix functions. Applicable Anal. 20(1985), 23-48.
4. Hryniv, R., Lancaster, P., Renshaw, A.A., A stability criterion for parameter dependent gyroscopic systems. Submitted to J. Appl. Mech..
5. Kato, T., Perturbation Theory for Linear Operators, Springer-Verlag, Berlin-Heidelberg-New York, 1976.
6. Langer, H., Najman, B., Remarks on the perturbation of analytic matrix functions. III. Integral Equations Operator Theory 15(1992), no. 5, 796-806.
7. Langer, H., Najman, B., Veselic, K., Perturbation of the eigenvalues of quadratic matrix polynomials. SIAM J. Matrix Anal. Appl. 13(1992), no. 2, 474-489.
8. Markus, A. S., Introduction to the Spectral Theory of Polynomial Operator Pencils, Translations of Mathematical Monographs, Vol. 71, AMS, Providence-Rhode Island, 1988.
9. Ran, A. C. M., Rodman, L., Semidefinite perturbations of analytic hermitian matrix functions. Integral Equations Operator Theory 12(1989), 739-745.
10. Rellich, F., Perturbation Theory of Eigenvalue Problems, Gordon and Breach Science Publishers, New York-London-Paris, 1968.
11. Renshaw, A. A., Stability of gyroscopic systems near vanishing eigenvalues, J. Appl. Mech, accepted for publication.