摘要
给出了k-广义酉矩阵的概念,研究了它的性质及其与酉阵、辛阵、Householder阵、Hermite阵、Hamilton阵及广义逆矩阵之间的联系,从而推广了酉矩阵、Hermite阵、斜Hermite阵及Householder阵的相应结果,并将正交阵的广义Cayley分解推广到了广义酉矩阵.
The concepts of k-generalized unitary matrix are given,its properties and relations between they and unitary matrix,symplectic matrix,Householder matrix,Hermite matrix,Hamilton matrix and generalized inverse matrix are studied.Moreover,the corresponding results on relations among unitary matrix,Hermite matrix,anti-Hermite matrix and Householder matrix are popularized,especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期22-26,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
重庆市自然科学基金资助项目(CSTS2005BB0243)
重庆市教委科学技术研究基金资助项目(3-10-71)
重庆市高校优秀中青年骨干教师科研基金资助项目
关键词
k-广义酉矩阵
酉矩阵
广义Hermite阵
广义逆矩阵
辛矩阵
k-generalized unitary matrix
unitary matrix
generalized Hermite matrix
generalized inverse matrix
symplectic matrix
