摘要
基于首尾差r-循环矩阵的概念及其特殊性质,运用多项式矩阵理论,给出了首尾差r-循环线性系统求解的快速算法.当首尾差r-循环矩阵非奇异时,该算法求首尾差r-循环线性系统的唯一解;当首尾差r-循环矩阵奇异时,该算法求首尾差r-循环线性系统的特解和通解.
A fast algorithm for solving the first and the last difference r-circulant linear system is presented by the theory of polynomial matrix.When the first and the last difference r-circulant matrix is nonsingular,we compute its unique solution.When the matrix is singular,we compute its special solution and general solution.
作者
史雨梅
余晓美
汪胜
Shi Yumei;Yu Xiaomei;Wang Sheng(School of Mathematics and Finance,Chuzhou University,Chuzhou 239000,China;Information Construction and Management Center,Chuzhou University,Chuzhou 239000,China)
出处
《湘南学院学报》
2020年第5期6-10,共5页
Journal of Xiangnan University
基金
安徽省教育厅高校自然科学研究项目(KJ2018A0424)
关键词
首尾差r-循环线性系统
多项式矩阵
唯一解
通解
快速算法
the first and the last difference r-circulant linear system
polynomial matrix
unique solution
general solution
fast algorithm
