| 新的预条件的Jacobi迭代法及比较性定理 |
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| 引用本文： | 宋岱才.新的预条件的Jacobi迭代法及比较性定理[J].科学技术与工程,2010,10(32). |
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| 作者姓名： | 宋岱才 |
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| 作者单位： | 辽宁石油化工大学理学院,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： | 提出了一种新的预条件矩阵,并讨论了该预条件下Jacobi迭代法的收敛性，得到了比较性定理，揭示了预条件Jacobi迭代法的收敛速度和参数之间的关系。最后给出数值例子验证了该预条件迭代格式优于通常的预条件法。
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| 关 键 词： | 预条件矩阵 Jacobi迭代法 比较定理 |
| 收稿时间： | 9/2/2010 2:41:33 PM |
| 修稿时间： | 9/2/2010 2:41:33 PM |
New preconditioned Jacobi iterative method and comparison theorems |
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| Song Dai Cai.New preconditioned Jacobi iterative method and comparison theorems[J].Science Technology and Engineering,2010,10(32). |
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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, and the preconditioned Jacobi iterative method is discussed. Some comparison theorems are obtained, and the relation between the convergence rate of preconditioned Jacobi iterative method and the parameters is brought to light. Finally a numerical example is given to show that the precondition is superior the usual preconditions law in this paper. |
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| Keywords: | preconditioned matrix Jacobi iterative method comparison theorem |
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