摘要
广义H-矩阵的理论在许多实际问题的研究中有着非常重要的作用,如偏微分方程数值求解中出现的线性方程组的块迭代法的收敛性问题。讨论了广义M-矩阵的Hadmard积还是广义M-矩阵,广义H-矩阵的Hadmard积还是广义H-矩阵。改进了线性方程组的广义迭代方法及其应用。
The generalized H-matrices has extensive applications in many subjects,such as the convergence of iterative schemes for linear systems arising in the numerical solution of partial differential equations.It is proved that the Hadmard product of generalized M-matrices is generalized M-matrices,and the Hadmard product of generalized H-matrices is generalized H-matrices.Generalized iterative methods for linear systems and their application are extended.
出处
《计算机工程与应用》
CSCD
北大核心
2011年第21期55-57,共3页
Computer Engineering and Applications
基金
国家自然科学基金No.10971176
湖南省自然科学基金(No.08JJ6038)
广西教育科学规划课题(No.2010C175)
桂林航天工业高等专科学校基金项目(No.X09Z037)~~
