Bounds for Modules of Eigenvalues of Iterative Matrices

For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices. In this paper we present an estimate for bounds of module of eigenvalues of the iteration matrix M-1 N for a kind of Baily-Crabtree diagonally dominant matrix M. Then, under a certain condition, the estimate for bounds of the module of eigenvalues of M-1 N is presented when M is a α -strictly diagonally dominant matrix. Numerical examples for illustrating validity of results are presented.