期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 75, 期 8, 页码 945-963出版社
WILEY
DOI: 10.1002/nme.2280
关键词
distinct and repeated eigenvalues; complex eigenvectors; normalization condition; eigenvector derivatives; particular solutions; extended system
资金
- Program for New Century Excellent Talents in University, PRC
- National Natural Science Foundation of China [10472037]
- Key Laboratory of Symbolic Computation
- Knowledge Engineering of Ministry of Education
In this paper, we investigate the computation of the first-order derivatives of complex eigenvectors for General non-defective eiggensysterns. A new normalization condition is proposed, with which we can compute unique first-order derivatives of arbitrary differentiable eigenvectors of systems with distinct and repeated eigenvalues. We also present an efficient algorithm to Compute the particular solutions to the governing, equations of the first-order derivatives of eigenvectors. Finally, numerical examples are included to demonstrate the validity of the proposed method. Copyright (C) 2007 John Wiley & Sons, Ltd.
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