Eigenvector Derivatives of Generalized Nondefective Eigenproblems With Repeated Eigenvalues PUBLIC ACCESS

[+] Author Affiliations
Yong-Qiang Zhang, Wen-Liang Wang

Fudan University, Shanghai, People’s Republic of China

Paper No. 93-GT-340, pp. V03CT17A001; 7 pages
  • ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 3C: General
  • Cincinnati, Ohio, USA, May 24–27, 1993
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7892-7
  • Copyright © 1993 by ASME


A new method is presented for computation of eigenvalue and eigenvector derivatives associated with repeated eigenvalues of the generalized nondefective eigenproblem. This approach is an extension of recent work by Dailey and by Juang et al. and is applicable to symmetric or nonsymmetric systems. The extended phases read as follows. The differentiable eigenvectors and their derivatives associated with repeated eigenvalues are determined for generalized eigenproblem, requiring the knowledge of only those eigenvectors to be differentiated. Moreover, formulations for computing eigenvector derivatives have been presented covering the case where multi-groups of repeated first eigenvalue derivatives occur. Numerical Examples are given to demonstrate the effectiveness of the proposed method.

Copyright © 1993 by ASME
Topics: Eigenvalues
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