对于非对称线性方程组Ax＝ b ，当A是正定可对称化矩阵时，利用预对称化技术和混合迭代技术，结合GM RES算法提出了一种新的预对称混合GM RES迭代算法，理论表明，新算法可以使迭代的收敛效果得到明显改善。数值例子表明该算法迭代次数要少于解非对称线性方程组的GM RES方法。%This paper presented a new kind of pre-symmetry hybrid GMRES iterative method for the nonsymmetric linear system Ax = b ,in which A was the positive definite symmetrizable matrix .The new algorithm can improve the convergence effect of iteration .The numerical results show that the iterative times of the new algorithm are fewer than the GM RES method for the nonsymmetric linear systems .
展开▼
