| 反五对角与拟反五对角方程组的追赶法 |
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| 引用本文： | 倪有义,蔡静.反五对角与拟反五对角方程组的追赶法[J].数学杂志,2014,34(1):137-144. |
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| 作者姓名： | 倪有义 蔡静 |
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| 作者单位： | 湖州师范学院理学院 |
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| 基金项目： | 国家自然科学基金(11071079);浙江省自然科学基金(Y6110043);校教研重点项目(GJB11007);国家特色专业建设点“数学与应用数学” |
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| 摘 要： | 本文研究了反五对角和拟五对角线性方程组的求解问题.利用矩阵分解方法以及将系数矩阵A分解成三个简单矩阵的乘积A=LUD,获得了反五对角线性方程组以及拟反五对角线性方程组的追赶法,从而推广了对角型线性方程组追赶法.
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| 关 键 词： | 反对角线性方程组 追赶法 LU分解 |
| 收稿时间： | 2011/12/29 0:00:00 |
| 修稿时间： | 2012/4/11 0:00:00 |
CHASE-AFTER METHODS OF ANTI-PENTADIAGONAL AND QUASI ANTI-PENTADIAGONAL LINEAR EQUATIONS |
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| NI You-yi and CAI Jing.CHASE-AFTER METHODS OF ANTI-PENTADIAGONAL AND QUASI ANTI-PENTADIAGONAL LINEAR EQUATIONS[J].Journal of Mathematics,2014,34(1):137-144. |
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| Authors: | NI You-yi and CAI Jing |
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| Institution: | NI You-yi;CAI Jing;School of Science,Huzhou Teachers College; |
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| Abstract: | In this paper, the problem of solving the anti-pentadiagonal and quasi antipentadiagonal linear equation is discussed, respectively. By using matrix decomposition method and decomposing the coefficient matrix A into the product of three simple matrix A=LUD, we deduce the chase-after methods of anti-pentadiagonal linear equations and quasi anti-pentadiagonal linear equations, which generalize the ones of diagonal linear equation. |
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| Keywords: | anti-diagonal linear equations chase-after method LU decomposition |
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