Hermite正定矩阵迹的算术-几何平均不等式  

Two equivalent forms of arithmetic-geometric inequalites of Hermite positive definite matrix trace

作　　者：刘红霞[1] 冯天祥[1] LIU Hong-xia;FENG Tian-xiang(Department of Basic Courses,Dongguan Polytechnic,Dongguan 523808,Chin)

机构地区：[1]东莞职业技术学院公共教学部,广东东莞523808

出　　处：《哈尔滨商业大学学报（自然科学版）》2018年第4期480-482,共3页Journal of Harbin University of Commerce：Natural Sciences Edition

摘　　要：研究了Hermite正定矩阵迹的不等式问题.在2个已知不等式的基础上,利用算术-几何平均值不等式和数学归纳法,得到几个Hermite正定矩阵迹的不等式.并进一步推理得出2个Hermite正定矩阵迹的算术-几何平均不等式的等价形式.This paper studied on the inequalities of Hermite positive definite matrix trace.Based on two existing inequalities,several inequalities of Hermite positive definite matrix trace were obtained by using the arithmetic-geometric mean inequality and mathematical induction. And two equivalent forms of arithmetic-geometric mean inequalities of Hermite positive definite matrix trace were also obtained.

关 键 词：HERMITE矩阵 迹 算术-几何平均不等式 等价 

分 类 号：O211.67[理学—概率论与数理统计]