H-矩阵的预条件Gauss-Seidel迭代法收敛性  

Convergence of Preconditioned Gauss-Seidel Iterative Method for H-matrix

作　　者：周婷[1] 

机构地区：[1]衡水学院数学与计算机学院,河北衡水053000

出　　处：《嘉应学院学报》2013年第2期5-8,共4页Journal of Jiaying University

摘　　要：H-矩阵是一类用途广泛的矩阵.当线性系统的系数矩阵为H-矩阵时,在更广义的分裂条件下,运用Gauss-Seidel迭代法解线性系统,得到了在一类预条件矩阵下的收敛结果.最后给出数值例子验证了此结论.H - matrix is a widely used matrix. In this paper, with a more general splitting , we use the Gauss - Sei- del iterative method for the solution of the linear systems when the coefficient matrix ia an H - matrix and we obtain convergence results under a type of preconditioned matrix. Finally, numerical examples are given to illustrate the conclusions.

关 键 词：Gauss—Seidel迭代法 H-矩阵 比较矩阵 收敛性 

分 类 号：O241.6[理学—计算数学]