There are a number of applications where the sensitivity of eigenvectors with respect to physical parameters is desired. We develop an iterative solution scheme for calculating the eigenvector sensitivity in which only the lowest eigencharacteristics are required. It uses a least-squares formulation for the eigenvector sensitivity including the relation from the basic eigenvalue problem and the orthogonality and normality conditions with respect to the mass matrix. The iterative scheme uses the band structure of the stiffness matrix and an efficient use of the Householder transformation to reduce the number of calculations.
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