实正定矩阵与Minkowski不等式的再推广  

THE FURTHER EXTENSIONS OF REAL POSITIVE DEFINITE MATRICES AND MINKOWSKI'S INEQUALITY

作　　者：吴世锦[1] 游晓黔[2] 

机构地区：[1]重庆工商大学理学院,重庆400067 [2]重庆邮电学院计算机科学与技术学院,重庆400065

出　　处：《数学杂志》2006年第2期181-184,共4页Journal of Mathematics

摘　　要：本文给出实广义正定矩阵概念的新推广及其基本性质,讨论它及常见几种定义下广义正定矩阵的代数结构,得到非对称正定矩阵乘积的一个新刻画,并利用所获广义正定矩阵的性质,拓广了Minkowski,OstrowskiTaussky等矩阵不等式的取值范围.In this paper, we give the new extiension of the concept of real extended positive definite matrices and its basic properties, discuss the algebraic structure of extended positive definite matrices under the concept and some usual definitions, obtain a new depiction of unsymmetrical positive definite matrices product, and extend the given forms of Minkowski, Ostrowski-Taussky matric inequalities further by using the obtained property of extended positive definite matrices.

关 键 词：广义正定矩阵 矩阵乘积 不等式 

分 类 号：O151.21[理学—数学]