计算特征向量导数的若干方法的短评和一种改进模态法

 对特征向量导数计算的若干方法作了简短地评述,同时提出了一种改进模态法。这种方法具备Nelson法、改进Nelson法和直接扰动法的优点。该方法还可以具有多种形式,但本文仅介绍了一种同于直接扰动法的主要形式,这也是精度最好的一种形式。

SHORT REVIEW OF SOME METHODS FOR CALCULATING EIGENVECTOR DERIVATIVES——AN IMPROVED MODAL METHOD

A short review of some methods for calculating eigenvector derivatives is presented in this paper, in which the Fox-method (and improved Fox-method), Nelson-method (and improved Nelson-method), Fox's modal method, and currently advanced complete modal method as well as matrix perturbation method are concerned with. Based on the review, an improved modal method is proposed in the paper. This method possesses some merits, such as that it can make use of banded-state property of coefficient matrix in the governing equation for eigenvector derivatives to increase the efficiency of computation and needs only the modes corresponding to the eigenvalue under consideration. The present method has some formats, but only a principal format, which possesses much better precision, is described in the paper. Finally it is pointed out that the improved modal method reveals the inner relationship between Nelson-method and modal method.