摘要
本文利用控制不等式的性质,研究Hermit矩阵之迹以及矩阵特征值与奇异值不等式,获得若干Hermit矩阵不等式,这些结果在统计、数值代数以及线性系统等领域有着重要应用.
The purpose of this paper is to present some inequalities on majorization, trace, eigenvalue and singular for sum of Hermitian matrices, which will have important applications in many fields such as statistics, numerical algebra, linear system, etc.
出处
《应用数学》
CSCD
北大核心
2015年第3期475-480,共6页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(10671182)
关键词
特征值
奇异值
控制不等式
不等式
Eigenvalue
Singular value
Majorization
Inequality
