Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (4): 44-48.

• Comprehensive Studies • Previous Articles     Next Articles

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

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2008-03-01 Published:2008-03-01

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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.

Key words: preconditioner； Boundary Volue Methochs(BVMs)； Generalized Adams Methods(GAM)； Generalized Minimum Residual Linear Equation Solution(GMRES)；

[1] Sun H,,Zhang J.A high-order compact boundary valuemethod for solving one-dimensional heat equations. Numer Meth Part D E . 2003

[2] Bertaccini D.A circulant preconditioner for the systems ofLMF-based ODE codes. SIAM Journal on Scientific Computing . 2000

[3] Gray R M.Toeplitz and circulant matrices:A review. . 2006

[4] Frigo M,Johnson S G. FFTW Web page http:∥www.fftw.org/ . 2007

[5] L. Brugnano,and D. Trigiante.Solving Differential Problems by Multistep Initial and Boundary Value Methods. . 1998

[6] Chan R,Ng M.Conjugate gradient methods for Toeplitz systems. SIAM Review . 1996

[7] Jin X,,Sin V,Song L.Circulant preconditioned WR-BVM methods for ODE systems. Journal of Computational and Applied Mathematics . 2004

[8] Ming-Chao Cai and Xiao-Qing Jin.BCCB preconditioners for solving linear systems from delay differential equations. Computers and Mathematics With Applications . 2005

[9] Chan R,Ng M,Jin X.Strang-type preconditioners for systems of LMF-based ODE codes. IMA Journal of Numerical Analysis . 2001

[10] Y Saad.Iterative methods for sparse linear systems. . 2003

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

[12] 张贤达著.矩阵分析与应用[M]. 清华大学出版社, 2004

[13] 陈景良,陈向晖著.特殊矩阵[M]. 清华大学出版社, 2001
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