摘要
本文给出四元数体Q上方阵的UL分解,得到了Q上的乔连斯基分解,并利用它将复矩阵论中著名的许尔定理推广到Q上的所谓中心扩张阵上。
The UL decomposition of a square matrix over the real quaternion division ringQ is presented in this paper. By using this decomposition, a useful Choleskydecomposition over Q is obtained, and the famous Schur's theorem that everycomplex square matrix is unitarily similar to a lower triangular matrix is alsoextended to the socalled centrical extensional matrix over Q.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1989年第2期121-128,共8页
Journal of Fudan University：Natural Science
关键词
矩阵分解
正定矩阵
实四元数体
matrix decomposition
positivedefinite matrix
real quaternion division ring.
