α-Diagonal Strictly Dominance Matrix and Convergence Theorem of Iteration Methods

Some iteration methods for solving linear system were studied,when coefficient matrix isα--diagonal strictly dominance or doubly diagonal strictly dominance,and some convergence theorems were given.Results obtained were applicable toα-diagonal strictly dominance matrix or doubly diagonal strictly dominance matrix,and improved the known results and were suited to extended matrices.Finally,an numerical examples were given for illustrating advantage of results.