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置换因子循环线性系统求解的快速算法
引用本文:崔艳,朱灵,孔翔. 置换因子循环线性系统求解的快速算法[J]. 宁波大学学报(理工版), 2008, 21(4): 533-537
作者姓名:崔艳  朱灵  孔翔
作者单位:宁波工程学院理学院,浙江,宁波,315016
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.

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

Fast Algorithms for Solving Equation of Permutation Factor Circulant Matrix
CUI Yan,ZHU Ling,KONG Xiang. Fast Algorithms for Solving Equation of Permutation Factor Circulant Matrix[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2008, 21(4): 533-537
Authors:CUI Yan  ZHU Ling  KONG Xiang
Affiliation:( Faculty of Science, Ningbo University of Technology, Ningbo 315016, China )
Abstract: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.
Keywords:permutation factor circulant matrix  permutation factor circulant matrix equation  fast algorithm
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