First-order perturbation solution to the complex eigenvalues

The matrix perturbation method is extended to discrete linear nonconservative system with unsymmetrical matrices in this article. 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. Numerical example shows that this method is efficient and practicable.