摘要
对于迭代法解线性方程组,运用矩阵分裂理论及比较定理,对超松弛迭代法(即SOR方法)和预条件P=I+Cα后的Gauss-Seidel迭代法(称为IMGS方法)的收敛速度进行比较,得到较好结果,最后给出一个数值例子。
The linear systems were solved by the iterative method. The matrix iterative analysis and matrix comparison theorems were used to compare the convergence speed in the successive over-relaxation iterative method （SOR method） and the Gauss-Seidel method of the preconditioner P = I ＋ Ca （IMGS method ）, the comparison conclusion is better. And the numerical example was given.
出处
《贵州大学学报（自然科学版）》
2012年第1期17-19,共3页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金资助项目(10071048)
宝鸡文理学院重点项目基金资助(ZK11015)
