First-order perturbation solution to the complex eigenvalues
Copyright policy )First-order perturbation solution to the complex eigenvalues
The matrix perturbation method is extended to discrete linear nonconservative system with unsymmetric matrices. By introducing the concept of the adjoint complex eigenvector and by making use of the orthogonality relationship in the complex mode theory, the first-order perturbation solution to the complex eigenvalues is derived. A numerical example shows that this method is efficient and practicable.
first-order perturbation solution, adjoint complex eigenvector, numerical example, Ordinary differential operators, discrete linear nonconservative system, matrix perturbation method, Numerical solution of eigenvalue problems involving ordinary differential equations
first-order perturbation solution, adjoint complex eigenvector, numerical example, Ordinary differential operators, discrete linear nonconservative system, matrix perturbation method, Numerical solution of eigenvalue problems involving ordinary differential equations
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