Fiedler矩阵不等式和Bapat-Kwong矩阵不等式的等式条件  

The Condition of Equalities forFiedler and Bapat-Kong Matrix Inequalities

作　　者：杨忠鹏[1] 

机构地区：[1]莆田学院数学与应用数学系 福建莆田351100

出　　处：《莆田学院学报》2003年第3期1-4,共4页Journal of putian University

基　　金：福建省教育厅科研基金项目(JB01206)

摘　　要：给出了Hermitian正定矩阵的Hadamard乘积的Fiedler矩阵不等式和Bapat-Kwong矩阵不等式的等式条件,作为所得结果的应用,得到了Hermitian正定矩阵的相对增益阵列是单位矩阵的充分必要条件。In this paper, we give the conditions of equalities for Fiedler and Bapat-Kwong matrix inequalities on Hadamard product of Hermitian positive definite matrices. Theorefore, we obtain the necessary and sufficient conditions under which the relative gain array of Hermitian positive definite matrix becomes identity matrix.

关 键 词：Fiedler矩阵不等式 Bapal-Kwong矩阵不等式 Hermitian正定矩阵 HADAMARD乘积 等式条件 相对增益阵列 

分 类 号：O151.21[理学—数学]