AOR方法的收敛性定理

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基金项目: 四川省青年科技基金资助项目(Jsa1081)

Convergence Theorems for the AOR Method

1.
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200436, P R China

摘要: 获得了著名的AOR方法收敛的实用条件和H矩阵的实用判别条件。所得AOR方法的收敛条件便于实际计算应用,适用范围不要求方程组系数矩阵对角占优,适用于数学物理问题中广泛的矩阵类。给出的数值例子表明了所得结果的实用性。
- 迭代 /
- 收敛性 /
- AOR方法 /
- H矩阵
Abstract: Practical sufficient conditions for the convergence of the AOR method and a practical sufficient condition for H-matrices are studied.The obtained convergence conditions suited to matrices which need not to be diagonally dominant.
- convergence /
- AOR method /
- iteration /
- H-matrice

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