| G—函数及其在迭代法中的应用 |
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| 引用本文： | 顾敦和.G—函数及其在迭代法中的应用[J].南京理工大学学报(自然科学版),1993(5):5-8. |
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| 作者姓名： | 顾敦和 |
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| 作者单位： | 南京理工大学理学院 |
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| 基金项目： | 南京理工大学校科研基金 |
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| 摘 要： | 该文主要介绍G-函数的概念及其在线性方程组迭代法中的应用,利用G-函数得到了Jacobi迭代、Seidal迭代与SOR迭代的收敛准则,这些准则包含了上述三种迭代法大量的收敛性的充分条件,因此,极大地扩充了迭代法的适用范围。
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| 关 键 词： | 迭代法 线性方程 G－函数 应用 |
G-Functions and Its Applications in the Iterative Methods |
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| Gu Dunbe School of Sciences.G-Functions and Its Applications in the Iterative Methods[J].Journal of Nanjing University of Science and Technology(Nature Science),1993(5):5-8. |
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| Authors: | Gu Dunbe School of Sciences |
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| Institution: | Gu Dunbe School of Sciences |
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| Abstract: | This paper deals with mainly G-functions and its appli-cations in iterative methods for linear systems. Using the G-func-tions, some convergent criterions of Jacobi, Seidal and SOR iterativemethods are obtained. These criterions contain numerous convergentsufficient conditions of the three iterative methods, greatly expandingtheir applied areas. |
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| Keywords: | iteration methods linear equations G-functions |
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