摘要
本文采用分析和代数的方法给出了四元数体上自共轭矩阵的几个不等式，推广和改进了类似文章相应定理的结果。
n this paper, we discuss self-conjugate matrice on quaternion. The following theorems was proved.(1)Suppose A, B are both positive definite self-conjugate matrices on quaternion, then:(2)suppose A1,A2,…,Am are positive difinite self-conjugate matrices on quaternion, and matually exchange, ai>0 and 1,then:
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
1995年第2期169-172,共4页
Journal of Hefei University of Technology：Natural Science
关键词
四元数矩阵
广义酉矩阵
自共轭矩阵
不等式
self-conjugate matrices on quaternion,generalized U matrix,convex function
