Abstract
An iterative method is proposed to compute partial derivatives of eigenvectors of quadratic eigenvalue problems with respect to system parameters. Convergence theory of the proposed method is established. Numerical experiments demonstrate that the proposed method can be used efficiently for partial derivatives of eigenvectors corresponding to dominant eigenvalues.
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Acknowledgements
This research was supported by the National Natural Science Foundation of China (No. 11001079) and the Fundamental Research Funds for the Central Universities.
I would like to express my sincere gratitude to the referee and the editor for their helpful comments and suggestions that improved the presentation of the paper. In particular, I am greatly indebted to the referee, who spent a lot of time and efforts on my paper, and kindly provided me with much useful guidance.
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Communicated by Michiel E. Hochstenbach.
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Xie, H. An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems. Bit Numer Math 52, 525–536 (2012). https://doi.org/10.1007/s10543-011-0366-9
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DOI: https://doi.org/10.1007/s10543-011-0366-9