预条件Gauss-Seidel迭代法  

Preconditions Gauss-Seidel iterative method

作　　者：石艳超[1] 徐安农[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2008年第3期258-260,共3页Journal of Guilin University of Electronic Technology

摘　　要：Gauss-Seidel迭代法是经典的迭代法,通过提出一种新的预条件因子,证明了在非奇异M-矩阵下该预条件加速了迭代法的收敛性。最后给出数值算例说证明:该预条件迭代格式优于通常的预条件法。Gauss-Seidel iteration is the classic iterative method. In recent years a variety of preconditions Gauss-sei-del iterative methods have been raised. In this paper, we first present a preconditions factor and then prove the accelerated convergence of the iteration method by the preconditions under the nonsingular M-matrix. Numerieal examples show that the precondition is superior to the usual preconditions law.

关 键 词：预条件因子 非奇异M-矩阵 GAUSS-SEIDEL迭代法 

分 类 号：O241.6[理学—计算数学]