| H-矩阵的预条件AOR迭代法 |
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| 引用本文： | 周婷,郭文彬,崔燕.H-矩阵的预条件AOR迭代法[J].郑州大学学报(自然科学版),2012(1):23-27. |
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| 作者姓名： | 周婷 郭文彬 崔燕 |
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| 作者单位： | [1]衡水学院数学与计算机学院,河北衡水053000 [2]聊城大学数学科学学院,山东聊城252059 [3]南京理工大学计算机科学与技术学院,江苏南京210094 |
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| 基金项目： | 国家自然科学基金资助项目,编号10771073 |
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| 摘 要： | H-矩阵是一类用途比较广泛的矩阵,为了解决H-矩阵线性系统,给出了两类新的不同预条件AOR迭代法,得到了这两类预条件AOR迭代法的收敛结果.最后用数值例子验证得到的结果是正确的.
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| 关 键 词： | H-矩阵 M-矩阵 AOR迭代法 谱半径 收敛性 |
Preconditioned AOR Iterative Method for H-matrices |
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| ZHOU Ting,GUO Wen-bin,CUI Yan.Preconditioned AOR Iterative Method for H-matrices[J].Journal of Zhengzhou University (Natural Science),2012(1):23-27. |
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| Authors: | ZHOU Ting GUO Wen-bin CUI Yan |
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| Institution: | 1.College of Mathematics and Computer,Hengshui University,Hengshui 053000,China;2.College of Mathematics Science,Liaocheng University,Liaocheng 252059,China;3.School of Computer Science and Technology,Nanjing University of Science and Technology,Nanjing 210094,China) |
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| Abstract: | H-matrix is a widely used matrix.Two new different preconditioned AOR iterative methods for solving H-matrices linear systems were presented.The convergence theory of the two preconditioned AOR iterative methods were obtained.A numerical example was given to illustrate the theorems. |
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| Keywords: | H-matrix M-matrix AOR iterative method spectral radius convergence |
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