结式循环矩阵的运算及性质  

Operation and Properties of the Resultant Cyclic Matrix

作　　者：刘兴祥[1] 张宇 王姣 LIU Xing-xiang;ZHANG YU;WANG JIAO(School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China;School of and Science,Northwest A&F University,Xianyang 712000,China;School of Information and Control Engineering,Xi′an University of Architecture and Technology,Xi′an 710000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000 [2]西北农林科技大学理学院,陕西咸阳712000 [3]西安建筑科技大学信息与控制工程学院,陕西西安710000

出　　处：《延安大学学报（自然科学版）》2019年第4期24-28,共5页Journal of Yan'an University：Natural Science Edition

摘　　要：主要研究一类特殊的循环矩阵即结式循环矩阵。利用多项式矩阵的结式循环矩阵法以及矩阵的广义逆理论,将矩阵与多项式理论结合起来,给出了结式循环矩阵的运算及性质。In this paper,we study a special kind of cyclic matrix the resultant cyclic matrix,using the method of resultant cyclic matrix polynomial matrix and generalized inverse matrix theory,combined with polynomial matrix theory,by using the characteristic polynomial of knot type circulating matrix,the matrix calculations with the combination of the arithmetic polynomial operations and settle type operation and properties of cyclic matrix are given.

关 键 词：多项式矩阵 结式循环矩阵 特征多项式 

分 类 号：O151.21[理学—数学]