Approximate method for eigensensitivity analysis of a defective matrix
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摘要
Based on the exact modal expansion method, an arbitrary high-order approximate method is developed for calculating the second-order eigenvalue derivatives and the first-order eigenvector derivatives of a defective matrix. The numerical example shows the validity of the method. If the different eigenvalues μ(1),…,μ(q) of the matrix are arranged so that |μ(1)|≤⋯≤|μ(q)| and satisfy the condition that |μ(q1)|<|μ(q1+1)| for some q1
论文关键词：Approximate method,Eigenvalue and eigenvector derivatives,Defective matrix
论文评审过程：Received 3 February 2008, Revised 13 February 2010, Available online 23 December 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.12.006
