广义特征值问题中重特征值的特征向量导数
EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES
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摘要:本文把重特征值的特征向量导数的计算方法,推广到非亏损矩阵的广义特征值问题,并给出了特征值导数也有重根时特征向量导数的计算式。本方法的优点是只需已知所考虑的重特征值的特征向量,因而计算量小,对于大型复杂结构更为适用。Abstract:This p ap er present s a met ho d for comput ation of t he eigenvalue andeigenvector derivat ives a8so c iated with repeat ed eigenvalues of the generalized nondefectiveeigenproblem,This met ho d requires the knowledge of only t hose eigenvectors to be dif-ferentiated.A complete set of formulations has been presented covering the case wheresome groups of repeated first eigenvalue derivatives occur.A numerical exaniple is given todemonstrate t he effect iveness of the prop osed met ho d.