两类预条件GSOR迭代法收敛性的讨论

The Convergence Discussion of the GSOR Iterative Methods with Two Preconditioners

给出了在两类不同的预条件矩阵下的GSOR迭代法,分别对这两类预条件加速迭代法的收敛速度与经典的迭代法的收敛速度进行了比较,得到了比较结果,推广了文[1]和文[2]的相关结论.最后给出数值例子验证了本文得到的定理.

The GSOR iterative methods with two different preconditioners are presented.And show that the rate of convergence of the two preconditioned GSOR methods are both faster than that of basic GSOR method.This generalizes the results in the papers [1] and [2].Finally,a numerical example is given to illustrate the theorems.