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Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems

✍ Scribed by Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.

Book ID: 121255155
Publisher: Society for Industrial and Applied Mathematics
Year: 2013
Tongue: English
Weight: 293 KB
Volume: 34
Category: Article
ISSN: 0895-4798
DOI: 10.1137/120879841

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## Abstract In this paper, we investigate the computation of the first‐order derivatives of complex eigenvectors for general non‐defective eigensystems. A new normalization condition is proposed, with which we can compute unique first‐order derivatives of arbitrary differentiable eigenvectors of sy