拟对角占优矩阵AOR迭代法的收敛性

Convergence of the AOR Iterative Method for Quasi- Diagonally Dominant Matrix

在求解大型线性方程组Ax=b的系数矩阵A为拟对角占优矩阵的条件下，得到了AOR迭代法的收敛性定理，并给出了数值例子且结果正确。

In this paper, a sufficient condition for convergence of the AOR method is achieved when the coefficient matrix is the quasi-diagonally dominant Matrix. In addition, an example is given for illustrating the result.