| 线性方程组迭代收敛判别法 |
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| 引用本文： | 顾敦和.线性方程组迭代收敛判别法[J].南京理工大学学报(自然科学版),1992(4). |
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| 作者姓名： | 顾敦和 |
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| 作者单位： | 华东工程学院应用数学系 |
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| 摘 要： | 利用Ostrowski关于矩阵非奇异性的结果,得到线性方程组Ax=b迭代法收敛的充分条件。这些条件实质上是对角占优条件的推广,拓宽了对角占优判别法的应用范围。
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| 关 键 词： | 线性方程组 迭代法 判别法 |
Some Generalizations on the Convergencies of Iterative Criterions for Systems of Linear Equations. |
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| Gu Dunhe.Some Generalizations on the Convergencies of Iterative Criterions for Systems of Linear Equations.[J].Journal of Nanjing University of Science and Technology(Nature Science),1992(4). |
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| Authors: | Gu Dunhe |
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| Institution: | Gu Dunhe Department of Applied Mathematics |
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| Abstract: | Based on the Ostrowski's results on the nonsingularity of matri-ces,this paper obtains some sufficient conditions of iterative convergent crite-rions for systems of linear equations in the form of Ax= b. In fact,these suf-ficient conditions are the generalizations of the criterion by the diagonallydominant conditions. They expand applied areas of diagonally dominant crite-rion. |
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| Keywords: | systems of linear equations iteration method criterion |
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