Abstract: In order to assure the accuracy of the numerical solution of the iterative method for solving PDE, the stopping test is very important.If the coefficient matrix of the system of linear algebraic equations is strictly diagonal dominant or irreducible weakly diagonal dominant, the stopping test formulas of the iterative method x^(s+1)=Gx(s)+K for solving PDE is proposed in this paper. Several numerical examples are given to illustrate the applications of the stopping test formulas.

Key words: matrix, iterative method, stopping test