| 相容次序矩阵SAOR方法收敛的充要条件 |
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| 引用本文： | 魏小梅,畅大为.相容次序矩阵SAOR方法收敛的充要条件[J].纺织高校基础科学学报,2006,19(3):201-204. |
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| 作者姓名： | 魏小梅 畅大为 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 讨论了A为大型稀疏非奇异矩阵的线性方程组Ax=b的SAOR迭代求解问题.在系数矩阵为对角元素非零的相容次序矩阵且相应的Jacobi迭代矩阵的特征值都是实数的情况下,得到了SAOR方法收敛的充要条件.
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| 关 键 词： | SAOR迭代方法 相容次序矩阵 谱半径 |
| 文章编号： | 1006-8341（2006）03-0201-04 |
| 收稿时间： | 2006-02-20 |
| 修稿时间： | 2006年2月20日 |
A sufficient and necessary of the convergence of the SAOR iterative method for consistently ordered matrices |
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| WEI Xiao-mei,CHANG Da-wei.A sufficient and necessary of the convergence of the SAOR iterative method for consistently ordered matrices[J].Basic Sciences Journal of Textile Universities,2006,19(3):201-204. |
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| Authors: | WEI Xiao-mei CHANG Da-wei |
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| Abstract: | The SAOR iterative method for solving linear systems of the form Ax=b is discussed where A is a large sparse nonsingular matrix.A sufficient and necessary of the convergence of the SAOR iterative method is given in the case that the cofficient matrix A is consistently ordered matrix and all eigenvalues of its Jacobi matrix are real numbers. |
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| Keywords: | SAOR iterative method Jacobi iterative matrix spectral radius |
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