自共轭四元数矩阵的几个不等式  

Several inequalities of self-conjugate quaternion matrices

作　　者：喻朝阳[1] 

机构地区：[1]西昌学院工程技术系,四川西昌615013

出　　处：《盐城工学院学报（自然科学版）》2009年第4期21-22,共2页Journal of Yancheng Institute of Technology:Natural Science Edition

摘　　要：主要讨论了自共轭四元数矩阵的不等式问题,得到了四元数向量和四元数正定矩阵的Schwartz型不等式,在此基础之上,给出了两个Rayleigh商乘积的上下界。The inequalities of self-conjugate quaternion matrix were discussed.The Schwartz type inequalities for quaternion positive definite matrix and the vector of quaternion were presented.Basing on the inequality above,The upper bound and lower bound for the product of two Rayleigh divisions were obtained.

关 键 词：四元数矩阵 Schwartz型不等式 RAYLEIGH商 

分 类 号：O241.6[理学—计算数学]