An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix

An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix
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DOI:
10.1090/s0025-5718-1977-0438681-4
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发表时间:
1977
影响因子:
2
通讯作者:
J. Meijerink;H. A. Vorst
J. Meijerink;H. A. Vorst
中科院分区:
数学2区
文献类型:
--
作者:
J. Meijerink;H. A. Vorst

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提出了一类不一定对称的m -矩阵的正则分裂。如果矩阵是对称的,将这种分裂与共轭梯度法相结合,提供了一种快速迭代求解算法。与其他众所周知的方法进行了比较。在所有的测试问题中,新的组合比其他方法要快。
A particular class of regular splittings of not necessarily symmetric M-matrices is proposed. If the matrix is symmetric, this splitting is combined with the conjugate-gradient method to provide a fast iterative solution algorithm. Comparisons have been made with other well-known methods. In all test problems the new combination was faster than the other methods.