| 反对称次对称的线性方程组的缩减算法 |
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| 引用本文： | 何佑梅,龙建辉,胡锡炎.反对称次对称的线性方程组的缩减算法[J].云南民族大学学报(自然科学版),2011,20(2). |
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| 作者姓名： | 何佑梅 龙建辉 胡锡炎 |
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| 作者单位： | 1. 福建工程学院,数理系,福建,福州,350108
2. 湖南大学,数学院,湖南,长沙,410082 |
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| 基金项目： | 福建省自然科学基金，福建省教育厅基金，高校博士点基金 |
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| 摘 要： | 充分利用反对称次对称矩阵的性质,研究了反对称次对称的线性方程组Ax=b的缩减算法,给出求该类解方程的缩减算法.2个数值例子说明算法是可行有效的.
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| 关 键 词： | 反对称次对称 线性方程组 GMRES算法 缩减算法 |
On the Reducibility of Anti-Symmetric and Persymmetric Linear Systems |
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| HE You-mei,LONG Jian-hui,HU Xi-yan.On the Reducibility of Anti-Symmetric and Persymmetric Linear Systems[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2011,20(2). |
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| Authors: | HE You-mei LONG Jian-hui HU Xi-yan |
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| Institution: | HE You-mei1,LONG Jian-hui1,HU Xi-yan2(1.Department of Mathematics and Physics,Fujian University of Technology,Fuzhou 350108,China,2.School of Mathematics,Hunan University,Changsha 410082,China) |
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| Abstract: | This research uses the properties of anti-symmetric and persymmetric matrix to investigate the reducibility for the Ax=b where A is anti-symmetric and persymmetric.A new algorithm is obtained.Two numerical examples are reported to illustrate the effectiveness of our algorithms. |
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| Keywords: | anti-symmetric and persymmetric linear system GMRES algorithm reducibility algorithm |
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