一种求解基于GAM离散的线性系统的预处理算子

A Block Lower Bidiagonal Preconditioner with GMRES for Systems Derived from Generalized Adams Methods(GAM)

摘要: 对由Generalized Adams Methods(GAM)离散微分方程所得的大型线性系统,提出了一种基于块的二对角矩阵预处理算子,用以配合使用广义极小残量法(GMRES),实现加速求解.收敛性证明和数值实验显示该方法是非常有效的.

Abstract: It introduces a lower block bidiagonal preconditioner with GMRES method for solving the linear systems derived from the GAM is introduced.The theoretical arguments and numerical results are given to illustrate that our method is very effective.