Generalized interval AOR method for solving interval linear equations
Jahnabi Chakravarty, Manideepa Saha · Mathematical Foundations of Computing · 2023
Interval accelerated overrelaxation (IAOR) method to solve interval linear systems, was first introduced by Cvetković and Herceg in 1989 and convergence of which were discussed for a few classes of interval matrices. In this paper we introduce a generalization of IAOR method and termed it as generalized interval accelerated overrelaxation (GIAOR) method. We discuss the convergence of the proposed method for solving interval linear systems of equations with interval strictly diagonally dominant matrices, interval $ M $-matrices, irreducible interval $ M $-matrices or interval $ H $-matrices as the coefficient interval matrices of the systems. At last numerical examples are studied for each type of mentioned interval matrices illustrating the efficiency of the proposed method.