中北大学学报（自然科学版）2012，Vol.33Issue(1)：66-69,4.DOI:10.3969/j.issn.1673-3193.2012.01.018
H-矩阵方程组的预条件迭代法
H-Matrix Equations of Preconditioned Iterative Method
王炜 1禹跃1
作者信息
- 1. 太原理工大学数学学院,山西太原030024
- 折叠
摘要
Abstract
For the coefficient matrix A being //-matrix of linear equations, the preconditioning matrix I+Wp was introduced. Through the elementary row transformation of the coefficient matrix, a new preconditioned Gauss-Seidel method was proposed to solve the linear equations. If A is an //-matrix, then (I+Wp)A is also an //-matrix. The convergence theorem was also obtained. It theoretically proved that the new preconditioned Gauss-Seidel iterative method converges faster than the classic Gauss-Seidel iteration method. Numerical example showed the validity of the new precondition Gauss-Seidel iteration method.关键词
H-矩阵/预条件/Gauss-Seidel迭代法/收敛性Key words
H-matrix/ preconditions} Gauss-Seidel iteration method/ convergence分类
数理科学引用本文复制引用
王炜,禹跃..H-矩阵方程组的预条件迭代法[J].中北大学学报（自然科学版）,2012,33(1):66-69,4.
