Iterative method for calculating derivatives of eigenvectors

AIAA Journal

Volumn 34, Issue 5, 1996, Pages 1088-1090

  Zhang, Ouqi ^a   Zerva, Aspasia ^a  

^a Drexel University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011259880     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13197     Document Type: Article

References (16)

1. Fox, R. L., and Kapoor, M. P., "Rates of Change of Eigenvalue and Eigenvectors," AIAA Journal, Vol. 6, No. 12, 1968, pp. 2426-2429.
2. Nelson, R. B., "Simplified Calculation of Eigenvector Derivatives," AIAA Journal, Vol. 14, No. 9, 1976, pp. 1201-1205.
3. Rudisill, C. S., "Derivatives of Eigenvalues and Eigenvectors for a General Matrix," AIAA Journal, Vol. 12, No. 5, 1974, pp. 721, 722.
4. Ting, T., "Accelerated Subspace Iteration for Eigenvector Derivatives," AIAA Journal, Vol. 30, No. 8, 1992, pp. 2114-2118.
5. Wang, B. P., "Improved Approximate Methods for Computing Eigenvector Derivatives in Structural Dynamics," AIAA Journal, Vol. 29, No. 6, 1991, pp. 1018-1020.
6. AkgÜn, M. A., "New Family of Modal Methods for Calculating Eigenvector Derivatives," AIAA Journal, Vol. 32, No. 2, 1994, pp. 379-386.
7. Zeng, Q.-H., "Highly Accurate Modal Method for Calculating Eigenvectors in Viscous Damping Systems," AIAA Journal, Vol. 33, No. 4, 1995, pp. 746-751.
8. Sutter, T. R., Camarda, C. J., Walsh, J. L., and Adelman, H. M., "Comparison of Several Methods for Calculating Vibration Mode Shape Derivatives," AIAA Journal, Vol. 26, No. 12, 1988, pp. 1506-1511.
9. Fox, R. L., and Kapoor, M. P., "Rates of Change of Eigenvalue and Eigenvectors," AIAA Journal, Vol. 6, No. 12, 1968, pp. 2426-2429.
10. Nelson, R. B., "Simplified Calculation of Eigenvector Derivatives," AIAA Journal, Vol. 14, No. 9, 1976, pp. 1201-1205.
11. Rudisill, C. S., "Derivatives of Eigenvalues and Eigenvectors for a General Matrix," AIAA Journal, Vol. 12, No. 5, 1974, pp. 721, 722.
12. Ting, T., "Accelerated Subspace Iteration for Eigenvector Derivatives," AIAA Journal, Vol. 30, No. 8, 1992, pp. 2114-2118.
13. Wang, B. P., "Improved Approximate Methods for Computing Eigenvector Derivatives in Structural Dynamics," AIAA Journal, Vol. 29, No. 6, 1991, pp. 1018-1020.
14. AkgÜn, M. A., "New Family of Modal Methods for Calculating Eigenvector Derivatives," AIAA Journal, Vol. 32, No. 2, 1994, pp. 379-386.
15. Zeng, Q.-H., "Highly Accurate Modal Method for Calculating Eigenvectors in Viscous Damping Systems," AIAA Journal, Vol. 33, No. 4, 1995, pp. 746-751.
16. Sutter, T. R., Camarda, C. J., Walsh, J. L., and Adelman, H. M., "Comparison of Several Methods for Calculating Vibration Mode Shape Derivatives," AIAA Journal, Vol. 26, No. 12, 1988, pp. 1506-1511.