| 求分块带状方程组的新算法 |
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| 引用本文： | 王宇勇,徐仲,李琳,涂丽娟.求分块带状方程组的新算法[J].高等学校计算数学学报,2010,32(3). |
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| 作者姓名： | 王宇勇 徐仲 李琳 涂丽娟 |
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| 作者单位： | 1. 西北工业大学应用数学系,西安,710072;中国船舶重工集团公司第七一○研究所,宜昌,443003
2. 西北工业大学应用数学系,西安,710072 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | <正>1引言在网络,自动化理论,差分方程求解及逻辑电路等实际问题中,往往需要求解分块带状方程组HX=F(1)这里H=(H_(ij)_(n×n),其中
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| 关 键 词： | 带状矩阵 追赶法 带状方程组 方程求解 新算法 分块矩阵 |
A NEW ALGORITHM FOR BLOCK BANDED SYSTEM OF LINEAR EQUATIONS |
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| Wang Yuyong,Xu Zhong,Li Lin,Tu Lijuan.A NEW ALGORITHM FOR BLOCK BANDED SYSTEM OF LINEAR EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(3). |
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| Authors: | Wang Yuyong Xu Zhong Li Lin Tu Lijuan |
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| Affiliation: | Wang Yuyong (Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072/ No.710 Research Institute,CSIC,Yichang 443003) Xu Zhong Li Lin Tu Lijuan (Department of Applied Mathematics,Xi'an 710072) |
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| Abstract: | In this paper,a new algorithm for linear equations which coefficient is block strictly diagonally dominant matrix is given.The algorithm and the classic Thomas algorithm require about the same amount of work.Some numerical examples are presented to verify the efficiency of the algorithm. |
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| Keywords: | block banded matrix block strictly diagonally dominant matrix Thomas algorithm |
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