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利用不完全LU分解的松弛型二级多分裂方法的收敛性

Convergence of Relaxed Two-Stage Multisplitting Iterative Methods Using Incomplete Factorization
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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
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参考文献13

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