Derivatives of Complex Eigenvectors Using Nelson's Method

By Michael I. Friswell, Sondipon Adhikari. 2000

111 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/036ed66a1764ec4831c2a19cee9da212b33b7fa8

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In Computational Mechanics

1. Hichem Smaoui
2. Li Li
3. Yujin Hu
4. Najeh Ben Guedria
5. M. Chouchane
6. Xuelin Wang

Citations in the corpus

• A parallel way for computing eigenvector sensitivity of asymmetric damped systems with distinct and repeated eigenvalues (2012, methodology): “In this paper, f ige denotes the eth component of the ith eigenvector, thus, the additional normalization adopted by many authors [2,6,10,17,30–33,35] has the following form:”
• A direct algebraic method for eigensolution sensitivity computation of damped asymmetric systems (2006, methodology): “To overcome the singularity problem and to find the sensitivities of right and left eigenvectors in the case of damped asymmetric systems, two major methods have been proposed: the modal method [4] and Nelson’s method [9].”
• Design sensitivity and Hessian matrix of generalized eigenproblems (2014, unknown): “Friswell and Adhikari [90], Guedria et al.”