关于准次正定矩阵  

On the Almost Positive Subdefinite Matrices

作　　者：李庆玉[1] 代洪霞[1] 

机构地区：[1]重庆工商大学 理学院,重庆400067

出　　处：《西南师范大学学报（自然科学版）》2007年第3期36-39,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市科技攻关资助项目(CSTC2006EA0005)

摘　　要：研究准次正定矩阵的性质及行列式理论.得到了判定准次正定矩阵的几个充要条件,以及准次正定矩阵的几个行列式不等式.并将著名的Fejer定理、Minkowski不等式及Hadamard不等式拓广到了准次正定阵上,扩大了Minkowski不等式的指数范围.The properties and determinant theories of the almost positive subdefinite matrix and determinant are discussed. The judging by seven necessary and sufficient conditions and five determinant inequalities of almost positive subdefinite matrix is established. As applications, some famous theorems and inequalities named after Fejer, Minkowski and Hadamard are generalized, and the index scope of Minkowski inequality is enlarged.

关 键 词：准次正定矩阵 次亚正定矩阵 亚正定矩阵 行列式 不等式 

分 类 号：O151.21[理学—数学]