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关于非对称线性方程组的新迭代算法 被引量:6

THE NEW ITERATIVE ALGORITHM FOR NONSYMMETRIC LINEAR SYSTEMS
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摘要 In this paper,we present a kind of pre-symmetrizers for the nonsymmetric linear systems arising from the discretization of nonself-adjoint second order scalar elliptic equation.Based on combination these pre-symmetrizers with CG method, the new algorithm, LRSCG algorithm, is presented.The numerical results show that the LRSCG algorithm is better than BiCG, CGS, BiCGSTAB, GMRES, QMR and SGMRES methods for thses nonsymmetric linear systems. In this paper,we present a kind of pre-symmetrizers for the nonsymmetric linear systems arising from the discretization of nonself-adjoint second order scalar elliptic equation.Based on combination these pre-symmetrizers with CG method, the new algorithm, LRSCG algorithm, is presented.The numerical results show that the LRSCG algorithm is better than BiCG, CGS, BiCGSTAB, GMRES, QMR and SGMRES methods for thses nonsymmetric linear systems.
作者 李文军
出处 《数值计算与计算机应用》 CSCD 北大核心 2001年第1期71-80,共10页 Journal on Numerical Methods and Computer Applications
基金 中国 863(863-306-ZD11-03-1 863-306-ZD01-03-2)项目 中国 973(G199903280
关键词 非对称线性方程组 数值计算 新迭代算法 pre-symmetrizers, nonsymmetric linear system, LRSCG algo- rithm
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