摘要
给出首加尾分块循环矩阵的定义,得到了首加尾分块循环矩阵的矩阵表示多项式,并对其研究得到了三个首加尾分块循环矩阵的充要条件,同时获得它的数乘、和、差、乘积、幂、伴随矩阵仍然是首加尾分块循环矩阵,最后给出判断奇异性与非奇异性的一个充要条件。
The definition of first-add-last block circulant matrix is proposed in this paper, and the representative polynomial of is given. The authors deduce three necessary and sufficient conditions for first-add-last block circulant matrix and some properties that scalar multiplication, sum, difference, product, power and adjoint matrix are also first-add-last block circulant matrix . Finally the necessary and sufficient conditions for its singularity and nonsingularity are presented.
出处
《成都工业学院学报》
2014年第2期61-62,共2页
Journal of Chengdu Technological University
基金
四川省应用基础研究计划"循环矩阵的理论研究及其应用"(2013JY0178)
关键词
定义
首加尾分块循环矩阵
充要条件
奇异性
definition
first-add-last block circulant matrix
necessary and sufficient condition
singularity
