Higher-order eigensensitivity analysis of a defective matrix

作者: Zhen-Yu Zhang , Hui-Sheng Zhang

DOI: 10.2514/2.1708

关键词:

摘要: Under the assumption that all of eigenvalues eigenproblem for first-order perturbation coefficients are simple and nonzero, a direct method is given calculating first- to third-order second-order eigenvectors defective matrix. The extended case where one associated with lowest-order Jordan blocks zero. Numerical examples show validity method.

参考文章(6)
Angelo Luongo, Eigensolutions sensitivity for nonsymmetric matrices with repeated eigenvalues AIAA Journal. ,vol. 31, pp. 1321- 1328 ,(1993) , 10.2514/3.11770
Zhen-Yu Zhang, Hui-Sheng Zhang, Eigensensitivity Analysis of a Defective Matrix AIAA Journal. ,vol. 39, pp. 473- 479 ,(2001) , 10.2514/2.1329
William C. Mills-Curran, Comment on "Eigenvector Derivatives with Repeated Eigenvalues" AIAA Journal. ,vol. 28, pp. 1846- 1846 ,(1990) , 10.2514/3.48905
William C. Mills-Curran, CALCULATION OF EIGENVECTOR DERIVATIVES FOR STRUCTURES WITH REPEATED EIGENVALUES AIAA Journal. ,vol. 26, pp. 867- 871 ,(1988) , 10.2514/3.9980
R. Lane Dailey, Eigenvector derivatives with repeated eigenvalues AIAA Journal. ,vol. 27, pp. 486- 491 ,(1989) , 10.2514/3.10137