| 右端多项式预处理GMRES算法 |
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| 引用本文： | 孙蕾,管勇.右端多项式预处理GMRES算法[J].科学技术与工程,2009,9(14). |
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| 作者姓名： | 孙蕾 管勇 |
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| 作者单位： | 南京航空航天大学金城学院,南京,210012<<中兴通讯股份有限公司,南京市,210012 |
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| 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。
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| 关 键 词： | GMRES 残量多项式 Krylov子空间 |
Right Polynomial Preconditioned GMRES |
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| SUN Lei,GUAN Yong.Right Polynomial Preconditioned GMRES[J].Science Technology and Engineering,2009,9(14). |
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| Authors: | SUN Lei GUAN Yong |
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| Institution: | Jincheng College of Nanjing University of Aeronautics and Astronautics;Nanjing 210012;P.R.China;ZTE Corporation;P.R.China |
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| Abstract: | The complementarity3] of GMRES(m)residual polynomials is exploited to define a matrix M-1as 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-1can effectively reduce the number of matrix conditions to ensure the effect of the new algorithm. |
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| Keywords: | GMRES residual polynomial Krylov subspace |
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