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在重根特征向量导数计算的完备模态法的基础上，利用原特征值问题的二阶导数，推导了一种特征向量一阶导数的计算方法。该法不仅适用于重特征值问题，对于非重特征值问题，也具有明显的优越性。
On the basis of the complete modal method for the computation of heavy eigenvector derivatives, a new method of calculating the first derivative of eigenvectors is derived by using the second derivative of the original eigenvalue problem. This method not only applies to the eigenvalue problem, but also has obvious superiority to the non-eigenvalue problem.