关于非对称线性方程组的新迭代算法  

THE NEW ITERATIVE ALGORITHM FOR NONSYMMETRIC LINEAR SYSTEMS

作　　者：李文军[1] 

机构地区：[1]中国科学院软件所并行计算室,北京100080

出　　处：《数值计算与计算机应用》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

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.

关 键 词：非对称线性方程组 数值计算 新迭代算法 

分 类 号：O241[理学—计算数学]