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

Hou Jia-xun; Guo Da-chang

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

更新时间：2026-05-27

- A Block Lower Bidiagonal Preconditioner with GMRES for Systems Derived from Generalized Adams Methods(GAM)
- Vol. 25, Issue 4, Pages: 44-48(2008)
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- Online First：01 March 2008，
  
  Published：2008
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侯嘉逊, 郭大昌. 一种求解基于GAM离散的线性系统的预处理算子[J]. 广东工业大学学报, 2008, 25(4): 44-48.

Hou Jia-xun, Guo Da-chang. A Block Lower Bidiagonal Preconditioner with GMRES for Systems Derived from Generalized Adams Methods(GAM)[J]. 2008, 25(4): 44-48.
侯嘉逊, 郭大昌. 一种求解基于GAM离散的线性系统的预处理算子[J]. 广东工业大学学报, 2008, 25(4): 44-48. DOI：

Hou Jia-xun, Guo Da-chang. A Block Lower Bidiagonal Preconditioner with GMRES for Systems Derived from Generalized Adams Methods(GAM)[J]. 2008, 25(4): 44-48. DOI：

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.

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references

钟宝江. GMRES方法的收敛率[J]. 高等学校计算数学学报. 2003(03)

张贤达著.矩阵分析与应用[M]. 清华大学出版社, 2004

陈景良,陈向晖著.特殊矩阵[M]. 清华大学出版社, 2001

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