中心或反中心对称线性方程组的缩减算法

On the Reducibility of Centrosymmetric and Skew Centrosymmetric Linear Algebraic Equations

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。

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.