摘要
利用Gram矩阵的正定性和可变单位向量建立了Fan Ky不等式的一个新的改进,并且建立了反向Fan Ky不等式.对于非奇异矩阵,得到了Fan Ky不等式以及反向Fan Ky不等式的推广.
A newrefinement of Fan Ky＇s inequality can be established by means of the positive definiteness of Gram matrix and a variable unit-vector. A reverse Fan Ky＇s inequality is also established. For nonsingular matrices, some extensions of the Fan Ky＇s inequality and the reverse Fan Ky＇s inequality are obtained.
出处
《高等数学研究》
2010年第4期24-26,共3页
Studies in College Mathematics
基金
湖南省教育厅资助科研项目(09C789)
关键词
FAN
Ky不等式
正定矩阵
非奇异矩阵
特征根
线性相关
Fan Ky ＇s inequality
positive definitive matrix
nonsingular matrices
characteristic root
linear dependence.
