烟台大学学报（自然科学与工程版）2011，Vol.24Issue(4)：260-263,4.
H-矩阵及其比较矩阵的预条件Gauss-Seidel法的收敛性
Convergence of Preconditioned Gauss-Seidel Method for H-matrix and Its Comparison Matrix
摘要
Abstract
Under a new preconditioned matrix, the preconditioned Gauss-Seidel method is discussed. In a more general split conditions, this method is applied to H-matrix and its comparison matrix, the corresponding convergence results and the comparison results of the spectral radius are obtained. This shows that the convergence rate of the preconditioned Gauss-Seidel method corresponding to //-matrix is faster than that of the preconditioned Gauss-Seidel method corresponding to its comparison matrix. Finally, a numerical example is also given to illustrate the results.关键词
预条件Gauss-Seidel法/H-矩阵/比较矩阵Key words
preconditioned Gauss-Seidel method/ H-matrix/ comparison matrix分类
数理科学引用本文复制引用
周婷,郭文彬..H-矩阵及其比较矩阵的预条件Gauss-Seidel法的收敛性[J].烟台大学学报（自然科学与工程版）,2011,24(4):260-263,4.基金项目
国家自然科学基金资助项目(10771073). （10771073）
