【摘要】 <正> 1.引 言 解大型线性方程组仍是当今数值计算中的一个重要问题[1—8],GMRES(m)算法是解大型非对称线性方程组的常用方法[1],其中A∈Rn×n为大型稀疏非奇异矩阵,x,b∈Rn.然而,当A为非正实阵时,GMRES(m)解问题(1.1)可能会停滞.为此我们在第二节将先给出GMRES(m)停更多还原

【Abstract】 The GMRES method is popular for solving nonsymmetric linear equations. It is generally used with restarting to reduce storage and orthogonalization costs. However, it is possible to show that the restarted GMRES method may not converge, i.e., being stationary. To remedy this difficulty, a new convergent restarted GMRES method is discussed in this paper.更多还原