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Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration

✍ Scribed by Andrew, Alan L. ;Tan, Roger C. E.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 113 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199909)15:9<641::aid-cnm278>3.0.co;2-1

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✦ Synopsis

A new simultaneous iteration method is presented for computing mixed second-order partial derivatives of several eigenvalues and the corresponding eigenvectors of a matrix which depends smoothly on some realvalued design parameters. Numerical results illustrate the viability of the method, and show it to be more stable than a previously published iterative method for derivatives of eigenvectors corresponding to subdominant eigenvalues.

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