特殊USAOR迭代法的收敛性研究

Research on the convergence of special iterative method for USAOR

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.

With the algebra,the necessary and sufficient condition for the convergence of the USAOR method as ω2=γ2=1 and ω1=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.