置换因子循环线性系统求解的快速算法  

Fast Algorithms for Solving Equation of Permutation Factor Circulant Matrix

作　　者：崔艳[1] 朱灵[1] 孔翔[1] 

机构地区：[1]宁波工程学院理学院,浙江宁波315016

出　　处：《宁波大学学报（理工版）》2008年第4期533-537,共5页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：给出了一类置换因子循环线性系统求解的一种快速算法.当置换因子循环矩阵非奇异时,该快速算法可求出该线性系统的唯一解;而当置换因子循环矩阵奇异时,该快速算法可求出该线性系统的通解.A fast Algorithm is presented seeking the solution of the permutation factor circulant matrix equation AX = b. It is proved that, when permutation factor circulant matrices are nonsingular, the single solution can be obtained for the permutation factor circulant matrix equation, otherwise the special and the general solution can thus be sought.

关 键 词：置换因子循环矩阵 置换因子循环线性系统 快速算法 

分 类 号：O151[理学—数学]