In the field of image identification and vibrancy theory, we often consider the equations for the generalized eigenvalues of matrix. We discuss perturbation questions on generalized eigenvalues of the complexpositivedefinitematrix(possiblynon-Hermitian).Somerelative perturbation bounds for generalized eigenvalues of the complex positive definite matrix are established.

complex positive definite matrix, generalized eigenvalue, matrix norm, relative perturbation bound.