Perturbations of simple eigenvectors of linear operators

Manuscripta Mathematica

Volumn 100, Issue 2, 1999, Pages 213-219

  Gil', M I ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346553127     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050237     Document Type: Article

References (12)

1. Davis, C.: The rotation of eigenvectors by a perturbation. J. Math. Anal. Appl. 6, 139- 173 (1963)
2. Davis, C.: The rotation of eigenvectors by a perturbation II. J. Math. Anal. Appl. 11, 20-27 (1965)
3. Davis, C. and Kahan, W.M.: Rotation of eigenvectors by a perturbation. SIAM J. Numer. Anal. 7, 1-46 (1070)
4. Dunford and Schwartz.: Linear operators. Part 3. Spectral operators. Wiley, New York, 1971
5. Gil', M. I.: Norm Estimations for Operator-valued Functions and Applications. Marcel Dekker, Inc. New York, 1995
6. Gil', M. L.: Stability of Finite und Infinite Dimensional Systems. Kluwer Academic Publishers, Boston-Dordrecht-London, 1998
7. Gohberg, I. C. and Krein, M. G.: Introduction to the Theory of Linear Nonselfadjoint Operators, Trans. Math. Monographs, v. 18, Amer. Math. Soc., R.I., 1969
8. Kato, T.: Perturbation Theory for Linear Operators. Springer-Verlag. New York, 1966
9. Kovarik, Z. and Sherif, N.: Perturbation of invariant subspaces. Linear Algebra and Appl. 64, 93-113 (1985)
10. Stewart, G. W. Error bounds for approximate invariant subspaces. SIAM J. Numer. Anal. 8, 796-808 (1971)
11. Stewart, G. W. and Sun Ji-guang: Matrix Perturbation Theory, Ademic Press, New York, 1990
12. Wilkinson, J.H.: The Algebraic Eigenvalue Problem. Clarendon Press. Oxford, England, 1965