吉林大学学报（理学版）Issue(3)：413-420,8.DOI:10.13413/j.cnki.jdxblxb.2014.03.03
外推Gauss-Seidel迭代法的收敛性及其与H-矩阵的关系
Convergence of Extrapolated Gauss-Seidel Iterative Method and Its Relationship with H-Matrix
摘要
Abstract
The convergence performance of the extrapolated Gauss-Seidel iterative method and its relationship with H-matrix were discussed.The convergence relationship between the extrapolated Gauss-Seidel and the Jacobi iterative methods and also the range of the extrapolated parameter when the method converges were given. The upper bound estimates for the spectral radius of the extrapolated Gauss-Seidel iterative method were obtained by using the optimally scaled matrix and the estimator of M-1 N. Meanwhile, equivalent conditions for general H-matrices based on the extrapolated Gauss-Seidel and the Gauss-Seidel iterative methods were provided.关键词
H-矩阵/Gauss-Seidel迭代法/外推Gauss-Seidel迭代法/最优尺度矩阵/谱半径Key words
H-matrix/Gauss-Seidel iterative method/extrapolated Gauss-Seidel iterative method/optimally scaled matrix/spectral radius分类
数理科学引用本文复制引用
薛秋芳,高兴宝,刘晓光..外推Gauss-Seidel迭代法的收敛性及其与H-矩阵的关系[J].吉林大学学报（理学版）,2014,(3):413-420,8.基金项目
国家自然科学基金(批准号:61273311 （）
10902062) （）
