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.
In this paper, the problem of solving the anti-pentadiagonal and quasi anti- pentadiagonal 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.
出处
《数学杂志》
CSCD
北大核心
2014年第1期137-144,共8页
Journal of Mathematics
基金
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"
关键词
反对角线性方程组
追赶法
LU分解
anti-diagonal linear equations
chase-after method
LU decomposition
