摘要
本文对文献[1～3]中的有关矩阵追迹的不等式作了很一般的推广,使得原来的关于两个非负定阵的追迹不等式推广成为任意有限多个实方阵的追迹不等式。同时解决了文献[1]中提出的一个问题。文献[4]中曾对这个问题作过讨论,但加了很强的条件。此外,文中还给出了诸不等式等号成立的条件。
In this paper, we generalize the inequalities of traces in [1～3] from two nonnegative definite matrices to any finite general real matrices case. Meantime, we solve a problem imposed by Bellman in [1] completely, which was considered in [4] and there, the problem was proved to be in right with a strong condition. We'll prove it without any condition and also give the condition for equality.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
1991年第1期8-12,共5页
Journal of Central China Normal University：Natural Sciences
关键词
内积
非负定阵
迹
不等式
internal product
nonnegative definite matrix
trace
inequality
