Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 467-468

  Andrew, A L ^a   Tan, R C E ^b  

^a LA TROBE UNIVERSITY   (Australia)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444450598     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Andrew, A.L., Chu, K.-w.E, Lancaster, P.: Derivatives of eigenvalues and eigenvectors of matrix functions; SIAM J. Matrix Anal. Appl. 14 (1993), 903-926.
2. Andrew, A.L., Tan, R.C.E.: Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils (in preparation).
3. Haug, E.J., Choi, K.K., Komkov, V.: Design sensitivity analysis of structural systems. Academic Press, Orlando 1986.
4. Mills-Curran, W.C.: Calculation of eigenvector derivatives for structures with repeated eigenvalues; AIAA J. 26 (1988), 867-871.
5. Mills-Curran, W.C.: Comment on "Eigenvector derivatives with repeated eigenvalues"; AIAA J. 28 (1990), 1846.
6. Shaw, J., Jayasuriya, S.: Modal sensitivities for repeated eigenvalues and eigenvalue derivatives; AIAA J. 30 (1992), 850-852.
7. Tan, R.C.E., Andrew, A.L.: Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration; IMA J. Numer. Anal. 9 (1989), 111-122.