| 新预条件下Gauss-Seidel迭代法及比较定理 |
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| 引用本文： | 宋岱才.新预条件下Gauss-Seidel迭代法及比较定理[J].科学技术与工程,2010,10(35). |
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| 作者姓名： | 宋岱才 |
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| 作者单位： | 辽宁石油化工大学基础部,抚顺,113001 |
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| 基金项目： | 辽宁省教育厅高校科研项目(2009T062)资助 |
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| 摘 要： | 提出了一种新预处理矩阵，研究了新预条件下Gauss-Seidel迭代法的收敛性 ,得到了比较性定理，并用数值例子验证了定理的正确性，揭示了新预条件加快Gauss-Seidel迭代法的收敛速度,并优于通常的预条件（I R) .
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| 关 键 词： | 预条件矩阵 Gauss-Seidel迭代法 比较定理 |
| 收稿时间： | 2010/10/12 0:00:00 |
| 修稿时间： | 2010/10/12 0:00:00 |
Preconditioned Gauss-Seidel iterative method and comparison theorems |
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| Song Dai Cai.Preconditioned Gauss-Seidel iterative method and comparison theorems[J].Science Technology and Engineering,2010,10(35). |
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| Authors: | Song Dai Cai |
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| Institution: | TIAN Qiu-ju,SONG Dai-cai(School of Sciences,Liaoning University of Petroleum & Chemical Technology,Fushun 113001,P.R.China) |
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| Abstract: | A new preconditioned matrix is proposed,the convergence of the new preconditioned Gauss-Seidel iterative method is discussed,and some comparison theorems are obtained.Then a numerical example is used to demonstrate the feasibility,explaining precondition iterative method accelerates the convergence of Gauss-Seidel iterative method and is better than(I+R). |
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| Keywords: | preconditioned matrix Gauss-Seidel iterative method comparison theorem |
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