| 新的L-矩阵线性方程组的预条件AOR迭代法 |
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| 引用本文： | 李园,韩海山.新的L-矩阵线性方程组的预条件AOR迭代法[J].湖北民族学院学报(哲学社会科学版),2012(1):39-44. |
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| 作者姓名： | 李园 韩海山 |
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| 作者单位： | 内蒙古民族大学数学学院 |
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| 基金项目： | 内蒙古自然科学基金项目(2011MS0114) |
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| 摘 要： | 在预条件矩阵Pα=(I+Sα)和Pαβ=(I+Sαβ)的基础上提出一个新的预条件矩阵为P^αβ=(I+S^αβ)的预条件AOR迭代法,建立了新的预条件AOR迭代法与经典的AOR迭代法的比较定理,数值试验表明预条件AOR迭代法更为有效.
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| 关 键 词： | 计算数学 预条件 线性方程组 AOR迭代法 谱半径 L-矩阵 |
A New Preconditioned AOR Iterative Method for L-matrices Linear Systems |
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| LI Yuan,HAN Hai-shan.A New Preconditioned AOR Iterative Method for L-matrices Linear Systems[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2012(1):39-44. |
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| Authors: | LI Yuan HAN Hai-shan |
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| Institution: | (College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028043,China) |
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| Abstract: | This paper proposes a new preconditioned AOR iterative method with the preconditioned matrix P^αβ=(I+S^αβ) under the preconditioned matrices Pα=(I+Sα) and Pαβ=(I+Sαβ).The comparison theorems are established between the new preconditioned AOR iterative method and the classical AOR iterative method.Numerical experiments are used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method. |
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| Keywords: | computational mathematics preconditioner linear systems AOR iterative method spectral radius L-matrix |
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