重根特征向量导数的统一迭代法

在模态法之外，作者提出过好几种计算重特征向量导数的方法，如直接扰动法、广义逆法、动柔度法和混合移频动柔度法等。这些方法是不同的，其中有两种方法仅用于许多特征向量导数才是有利的．还有一种方法不能用于密集根情况。本文企图将这些方法统一成同一迭代格式。这就大大简化了这些方法的编程和执引过程。这种统一迭代格式不仅可用于密集根状态，还可以经济地用于许多特征向量导数的计算。数值结果表明，所有演变、改造过的方法都是成功的。

Unified iterative method for eigenvector derivative computation

The author proposed several methods for calculating eigenvector derivatives in addition to use the modal method. These methods include direct perturbation method, generalized inverse technique, dynamic flexibility method and hybrid shifting frequency dynamic flexibility method. The computational methods are entirely different in which two methods are only beneficial to the calculation of many eigenvector derivatives. Also there is a method that cannot be applied to concentrated eigenvalues. Only the dynamic flexibility method with hybrid shifting frequency either can be applied to concentrated roots, or can be utilized economically in the calculation of many eigenvector derivatives. In this paper the author make the best effort to unify the computational formats as an iterative form. The computational process and compiling programme of them are simplified. This unified iterative formula not only can be applied to concentrated root condition, but also can be appropriate for the calculation of many eigenvector derivatives. Numerical results show that all the remade methods are successful.