Null space solution of Jordan chains for derogatory eigenproblems

Journal of Sound and Vibration

Volumn 222, Issue 4, 1999, Pages 679-690

  Leung, A Y T ^a   Chang, J K W ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346545728     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.2074     Document Type: Editorial

References (14)

1. G. H. GOLUB and J. H. WILKINSON 1976 SIAM Review 18, 578-619. Ill-conditioned eigensystems and the computation of the Jordan canonical form.
2. G. H. GOLUB and C. F. VAN LOAN 1996 Matrix Computations. Baltimore and London: Johns Hopkins; third edition.
3. CHEN YUSHU and A. Y. T. LEUNG 1998 Bifurcation and Chaos in Engineering. London: Springer.
4. A. Y. T. LEUNG 1995 Journal of Sound and Vibration 184, 627-637. Subspace iteration for complex symmetric eigenvalue problems.
5. A. Y. T. LEUNG 1997 Keynote paper, ASME Asian'97 Conference, Singapore. Algorithms for large eigenvalue problems in vibration and buckling analyses.
6. A. Y. T. LEUNG 1990 Communications in Applied Numerical Methods 6, 401-409. Perturbed general eigensolutions.
7. C. JORDAN 1870 Traite' des Substitutions. Paris. See p. 114.
8. R. A. FRAZER, W. J. DUNCAN and A. R. COLLAR 1947 Elementary Matrices. Cambridge: Cambridge University Press.
9. H. W. TUENBULL and A. C. AITKEN 1932 The Theory Canonical Matrices. Blackie.
10. B. T. SMITH, J. M. BOYLE, J. J., DONGARRA, B. S. GARBOW, Y. IKEBE, V. C. KLEMA and C. B. MOLER 1976 Matrix Eigensystem Routines - EISPACK Guide. Berlin: Springer.
11. A. Y. T. LEUNG, J. K. W. CHAN and C. W. CHAN 1998 Journal of Vibration and Control 11, 351-355. Inverse iteration for large defective eigensystems.
12. W. H. PRESS, B. P. FLANNERY, S. A. TEUKOLSKY and W. T. VETTERING 1986 Numerical Recipes. Cambridge: Cambridge University Press.
13. J. MORO, J. V. BURKE and M. L. OVERTON, 1997, SIAM Journal of Matrix Analysis and Applications 18, 793-817. On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure.
14. S. C. WONG and A. Y. T. LEUNG 1998 Communications in Numerical Methods in Engineering, Determination of Jordan chains by extended matrices 14, 879-893.