A note on computing eigenvector derivatives with distinct and repeated eigenvalues

作者：Wu Baisheng^*; Xu Zhonghai; Li Zhengguang

来源：Communications in Numerical Methods in Engineering, 2007, 23(3): 241-251.

DOI：10.1002/cnm.895

• symmetric eigensystems
• distinct and repeated eigenvalues
• eigenvector derivatives
• extended system
• condition numbers

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.

• 出版日期2007-3
• 单位吉林大学