We present the interval version of the Modified Accelerated Overrelaxa
tion (MAOR) method and establish some sufficient convergence condition
s for this method, when the interval matrix A of Ax = b belongs to som
e special classes of matrices. We also obtain some results about the c
onvergence of some well-known iterative methods. Finally, we give a su
fficient convergence condition for the interval AOR method.