| 求解线性方程组的Jacobi和Gauss-Seidel迭代法的收敛定理 |
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| 引用本文： | 韩艳丽. 求解线性方程组的Jacobi和Gauss-Seidel迭代法的收敛定理[J]. 中国西部科技, 2009, 8(20): 31-31 |
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| 作者姓名： | 韩艳丽 |
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| 作者单位： | 河南理工大学数信学院,河南,焦作,454000 |
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| 摘 要： | 本文先描述了迭代法求解线性方程组的基本思想，然后给出三个收敛定理并分别对他们作出解释，最后说明在作题过程中这三个定理如何用和应该注意什么。
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| 关 键 词： | 收敛定理 谱半径 范数 严格对角占优 |
Convergence Theorems of Jacobi and Gauss-Seidel Iterative Methods for Solving Linear Equations |
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| HAN Ya-ni. Convergence Theorems of Jacobi and Gauss-Seidel Iterative Methods for Solving Linear Equations[J]. Science and Technology of West China, 2009, 8(20): 31-31 |
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| Authors: | HAN Ya-ni |
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| Affiliation: | HAN Yan-li (Institute of Mathematics and Information Science,Henan Polytechnic University, Jiaozuo 454000,China) |
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| Abstract: | This article firtly describes the basic thought of iterative methods for solving linear equations. Secondly it provides three convergence theorems and then it gives explains to them respectively.At last it proves how use and what should pay attention to these three theorems in the course of making the questions. |
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| Keywords: | Convergence theorems Spectral radius Norm Strictly diagonal dominance |
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