2805	 Perturbations of Eigenvalues of Non-normal Matrices	 The problem considered is to give bounds for finite perturbations of simple and multiple eigenvalues of nonnormal matrices where these bounds are in terms of the eigenvalues the departure from normality and the Frobenius norm of the perturbation matrix but not in terms of the eigen system. The bounds which are derived are shown to be almost attainable for any set of matrices. perturbation of eigenvalues non-normal matrices departure from normality Gershgorin circles
