Diagonal Strictly Dominance Matrix and Convergence Theorem of SOR Iteration Method

In this paper Convergence theorem of SOR iteration method for solving linear system is studied,when coefficient matrix is α-chain diagonal strictly dominance or doubly diagonal strictly dominance,and some convergence theorems are given,which solves the problem of spectral radius of iterative matrices.Results obtained are applicable for α-chain diagonal strictly dominance matrix or doubly diagonal strictly dominance matrix,and improve the known results and are applicable for generalized diagonal strictly dominance matrices.Finally,a numerical example is given for illustrating advantage of the results in this paper.