| 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. |
| 关键词: 反对角线性方程组 追赶法 LU分解 |
| DOI： |
| 分类号:O241.6 |
| 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)及国家特色专业建设点"数学与应用数学". |
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| CHASE-AFTER METHODS OF ANTI-PENTADIAGONAL AND QUASI ANTI-PENTADIAGONAL LINEAR EQUATIONS |
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NI You-yi, CAI Jing
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School of Science, Huzhou Teachers College, Huzhou 313000, China
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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. |
| Key words: anti-diagonal linear equations chase-after method LU decomposition |
