摘要
利用GMRES(m)残量多项式的互补性理论定义矩阵M-1,对方程组进行右端预处理,建立了右端多项式预处理GMRES算法。并证明在一定条件下,M-1能有效地降低矩阵条件数,保证新算法的收敛效果。
The complementarity of GMRES(m) residual polynomials is exploited to define a matrix M^-1 as right side precondition matrix of the the linear system to set up right polynomial preconditioned GMRES algorithm. It is proved that under certain conditions, M^-1 can effectively reduce the number of matrix conditions to ensure the effect of the new algorithm.
出处
《科学技术与工程》
2009年第14期4119-4121,共3页
Science Technology and Engineering