Improving the modified Gauss-Seidel method for Z-matrices
Improving the modified Gauss-Seidel method for Z-matrices
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DOI：
10.1016/s0024-3795(97)80045-6
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发表时间：
1997-12
影响因子：
1.1
通讯作者：
T. Kohno;Hisashi Kotakemori;H. Niki;M. Usui
中科院分区：
文献类型：
--
作者：
T. Kohno;Hisashi Kotakemori;H. Niki;M. Usui
1991 年，A. D. Gunawardena 等人。报道称，带有预处理矩阵 I + S 的 Gauss-Seidel 方法的收敛速度优于基本迭代方法。在本文中，我们使用预处理矩阵 I + S(α)。如果系数矩阵 A 是不可约对角占优 Z 矩阵，则 [I + S(α)]A 也是严格对角占优 Z 矩阵。结果表明，所提出的方法也优于其他迭代方法。
In 1991 A. D. Gunawardena et al. reported that the convergence rate of the Gauss-Seidel method with a preconditioning matrix I + S is superior to that of the basic iterative method. In this paper, we use the preconditioning matrix I + S(α). If a coefficient matrix A is an irreducibly diagonally dominant Z-matrix, then [I + S(α)]A is also a strictly diagonally dominant Z-matrix. It is shown that the proposed method is also superior to other iterative methods.