特征向量导数计算的改进直接扰动法

Improved Direct Perturbed Methods For Calculation of Eigenvector Derivatives

本文对特征向量导数计算的一种“直接扰动法”进行了改进,使之精度进一步提高。本文不仅从理论上,而且算例结果也证实了这种改进是合理而有效的。

An Improved Direct Perturbed-method (IDP ) has been developed here. From mathematically deriving and numerical results it is shown that DP approaches the accurate solution only in O(ε) and IDP approaches the accurate one in O(ε2). However the computation of DP is simpler than one of IDP.