线性系统的预条件GAOR迭代法

PRECONDITIONED GAOR ITERATIVE METHOD FOR LINEAR SYSTEMS

解决线性系统Ax=b时,给出预条件子Ⅰ+Sα的GAOR迭代法,对相应的预条件GAOR迭代法和基本GAOR迭代法的收敛速度进行了比较,得到了比较定理。最后给出数值例子验证了所得到的结论,推广了文[1]的相应结果。

We propose a preconditioned GAOR iterative method with a preconditioner Pα=Ⅰ＋Sα.T in solving the linear system Ax=b.The convergence speed in the proposed GAOR iterative method and the basic GAOR iterative method are compared.The comparison conclusion is also derived.Finally,a numerical example is given to illustrate the results which promote the literature[1] of the corresponding results.