2002/04/01 by Zhen-Yu Zhang, Hui-Sheng Zhang, Huisheng Zhang · 2 citations
Physics and Astronomy · Computer Science · Engineering · #Electromagnetic Scattering and Analysis #Matrix Theory and Algorithms #Electromagnetic Simulation and Numerical Methods
paper · doi:10.2514/2.1708
Under the assumption that all of the eigenvalues of the eigenproblem for the first-order perturbation coefficients of the eigenvalues are simple and nonzero, a direct method is given for calculating the first- to third-order perturbation coefficients of the eigenvalues and the first- to second-order perturbation coefficients of the eigenvectors of a defective matrix. The method is extended to the case where one of the first-order perturbation coefficients of the eigenvalues associated with the lowest-order Jordan blocks is zero. Numerical examples show the validity of the method.