| 中心或反中心对称线性方程组的缩减算法 |
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| 引用本文： | 王鑫伟 陈文. 中心或反中心对称线性方程组的缩减算法[J]. 南京航空航天大学学报, 1996, 28(5): 599-607 |
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| 作者姓名： | 王鑫伟 陈文 |
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| 作者单位： | 南京航空航天大学飞行器系(王鑫伟)，南京航空航天大学理学院(何柏庆)，上海交通大学(陈文) |
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| 摘 要： | 推广了文［１，２］的概念，系统地叙述了中心对称和反中心对称矩阵的性质，导出了一类求解系数矩阵为中心对称和反中心对称线性方程组及超定方程组的缩减算法。这类算法可节省７０％－７５％的计算量，大大提高了计算效率
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| 关 键 词： | 工程计算；线性方程组；超定方程组；中心对称；反中心对称；缩减法 |
On the Reducibility of Centrosymmetric and Skew Centrosymmetric Linear Algebraic Equations |
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| Wang Xinwei. On the Reducibility of Centrosymmetric and Skew Centrosymmetric Linear Algebraic Equations[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1996, 28(5): 599-607 |
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| Authors: | Wang Xinwei |
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| Abstract: | The concepts in References 1 and 2 are broadened and the properties of the centrosymmetric and skew centrosymmetric matrices are exploited in detail. By using these properties, the author have derived a class of reducible algorithms to solve the system of linear algebraic equations with centrosymmetric or skew centrosymmetric coefficient matrices, which can reduce the computational effort and computer storage up to 70-75 percent as compared with the ordinary method. |
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| Keywords: | engineering computation linear equations over determined systems centrosymmetric skew centrosymmetric reducibility |
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