With the algebra, the necessary and sufficient condition for the convergence of the USAOR method as ω2 = γ2 = 1 and ω2 = γ1 = 1 are discussed for solving the linear system Ax=b with (q,r) = (2, 1) consistently ordered matrix. Finally,the optimum parameter and the most superior spectrum radius are obtained under certain condions.%当线性方程组Ax=b的系数矩阵A为(q,r)=(2,1)相容次序矩阵时,分别讨论当ω2=γ2=1和ω1=γ1=1时,USAOR方法收敛的充分必要条件,并在合理的假设下得到了USAOR方法收敛的最优参数和最优谱半径.
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