Description: 逐次超松驰迭代法(Successive Over Relaxation Me thod,简称SOR方法)是高斯—塞德尔方法的一种加速方法，是解大型稀疏矩阵方程组的有效方法之一，它具有计算公式简单，程序设计容易,占用计算机内存较少等优点,但需要较好的加速因子(即最佳松驰因子).下面我们首先说说松驰一词的含意,再利用它来解释雅可比迭代法与高斯—塞德尔迭代法,最后给出逐次超松驰迭代法的推算公式和收敛性条件.-Successive over relaxation iteration method (Successive Over Relaxation Me thod, called SOR method) is the Gauss- Seidel method for an accelerated method is solution of large sparse matrix equations, one effective method, it has a simple formula, programming easy, take up less computer memory, etc., but the need for better acceleration factor (that is, the best relaxation factor). Let us first talk about the meaning of the term relaxation, and then use it to explain the Jacobi s iterative method and the Gauss- Seidel iterative method, and finally gives successive over relaxation iterative method of projection formula and the convergence condition.
Platform: |
Size: 1024 |
Author:iop |
Hits:
Search - successive over relaxati