中文摘要：

对于JOR迭代法求解线性方程组Ax=b,运用了预条件加速JOR迭代法的收敛性,在预条件后引入参数α,给出更一般的预条件下含参数形式的JOR迭代方法.证明了这类方法能够加速JOR迭代法的收敛性,找到了参数的最佳取值,并且用数值算例加以验证.

英文摘要：

For the JOR iteration method to solving the linear system Ax=b,this paper apply the preconditioner to accelerate convergence of the JOR iteration method,and give a more generally preconditioned JOR iteration method by leading into parameterα.It prove that the rate of convergence of this method is faster than normal JOR iteration method,then have found the parameter optimal numerical.Last the results are verified by numerical example.