论文信息 - A note on computing eigenvector derivatives with distinct and repeated eigenvalues

A note on computing eigenvector derivatives with distinct and repeated eigenvalues

In this paper, a new method for computing eigenvector derivatives with distinct and repeated eigenvalues for the real symmetric eigensystems is presented. Its main idea is to extend the governing equations of particular solutions for eigenvector derivatives. The extension is completed by requiring the solution to be mass orthogonal with respect to the distinct or repeated modes and adjusting the corresponding coefficients so that the coefficient matrix of the extended system is non-singular and has smaller condition number. Numerical examples are included to demonstrate the validity of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.

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