摘要
本文研究求解多右端非对称线性方程组AX=B的块GMRES种子投影方法.首先本文组合块GMRES方法与种子投影方法,提出了块GMRES种子投影方法;进一步,为了加速收敛,本文讨论了两种不同的选种子策略,并给出了算法残量的相关性质.最后的数值结果表明本文提出的算法比种子投影方法优越.
In this paper, a block GMRES seed method tbr solving nonsymmetric linear systems with multiple right-hand sides are presented. Firstly, the method combines the block GMRES method and the seed projection method, and we proposes the block seed method. Moreover, in order to accelerate the convergence, two seed-selection approaches are analysed. The residual properties of the algorithms are given. Finally, experimental results indicate that the newly proposed algorithms are superior to the seed projection method.
出处
《数值计算与计算机应用》
CSCD
2014年第3期221-228,共8页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(11071118)
中国博士后科学基金(2013M541665)
江苏省博士后科学基金(1301061B)资助
关键词
多右端线性方程组
GMRES方法
块种子投影方法
Linear system with multiple right-hand sides GMRES method
Block seedprojection method
