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On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils

✍ Scribed by Huiqing Xie; Hua Dai

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
158 KB
Volume
374
Category
Article
ISSN
0024-3795

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✦ Synopsis

This paper considers the sensitivity of semisimple multiple eigenvalues and corresponding generalized eigenvector matrices of a nonsymmetric matrix pencil analytically dependent on several parameters. The directional derivatives of the multiple eigenvalues are obtained, and the average of eigenvalues and corresponding generalized eigenvector matrices are proved to be analytic. The results can be used to define the sensitivity of the semisimple multiple eigenvalues and corresponding generalized eigenvector matrices. These are useful for investigating structural optimal design, model updating, and structural damage detection.

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