摘要
讨论内分裂为不完全LU分解时,松弛型二级多分裂方法的收敛性.当系数矩阵为单调矩阵或H-矩阵时,证明了松弛因子的收敛域严格包含区间(0,1],改进了已有的结果.
It is studied the convergence of relaxed two-stage multisplitting iterative methods using incomplete factorization as inner iterations. When the coefficient matrix is either monotone or H-matrix, the convergent range of relaxation factor ω 〉 0 strictly includes the interval (0,1 ], which improving the known conclusions.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2007年第2期15-18,42,共5页
Journal of Natural Science of Hunan Normal University
基金
湖南省自然科学专项基金资助项目(02JJY5010)
关键词
线性方程组
矩阵多分裂
松弛型二级多分裂方法
不完全LU分解.
linear systems of equations
matrix multisplittings
relaxed two-stage multisplitting iterative methods
incomplete factorization