摘要
对称矩阵是一类常见矩阵,由其衍生出的一系列有关的矩阵成为一个研究方向,求逆矩阵就是其中的一个课题。运用合同变换和分块降阶的方法求得了对称循环矩阵和全对称矩阵的逆矩阵。
Symmetric matrix is the most common kind of matrix,and a series of matrices related to symmetric matrix are derived from it and which has become a research direction.The inverse matrix is one of the topics.The inverse matrix of two special symmetric matrices,symmetric circulant matrix and fully symmetric matrix are discussed.The method of congruent transformation and the method of block reduction are used to solve the inverse matrix respectively.
作者
田金玲
TIAN Jin-ling(Department of Mathematics,Datong Normal College,Datong 037039,China)
出处
《滨州学院学报》
2020年第6期89-96,共8页
Journal of Binzhou University
关键词
对称循环矩阵
全对称矩阵
逆矩阵
合同变换
降阶法
分块矩阵
symmetric circulant matrix
fully symmetric matrix
inverse matrix
congruent transformation
reduced order method
block matrix
