改进的H-矩阵线性方程组预条件迭代法的收敛定理

The Improved Convergence Theorem of Preconditioned Iterative Method for H-matrices Linear Systems

李和黄在文[2]中提出了预条件矩阵I+S+R,当系数矩阵A为Z-矩阵时给出了预条件迭代法的收敛性结果.王和黄在文[1]中运用I+S??作为预条件矩阵,讨论了当系数矩阵A为H-矩阵时预条件Gauss-Seidel迭代法的收敛性.本文改进了文[1]中的有关结果.

preconditioned proved if the improve the co Li and Huang [2] gave the preconditioner 1＋ S ＋R and discussed the convergence of the iterative method for Z-matrices. Wang and huang [ 1 ] considered the precondi coefficient matrix A is an H-matrix,then （I＋Sβα）A is also an H-matrix. rresponding results in[ 1 ]. tioner ! ＋ Saβα and In this paper,we