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ON CALCULATION OF SENSITIVITY FOR NON-DEFECTIVE EIGENPROBLEMS WITH REPEATED ROOTS

✍ Scribed by J. Tang; W.-L Wang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
185 KB
Volume
225
Category
Article
ISSN
0022-460X

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✦ Synopsis

Methods of calculating eigensolution sensitivity have long been divided into two categories: the modal methods and the direct methods. This paper presents a uni®ed theory for the calculation of derivatives of eigenvalues and eigenvectors, where the most general case, non-defective eigenproblems with repeated roots, is considered. The intrinsic relation between these two methods is exposed. The present modal method is shown to be actually the asymptotic expansion of a special direct method. A numerical example is given to verify the validity of the presented formulae, and the issue of computational eciency is addressed.

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