T关于M矩阵的Fan乘积的Oppenheim型不等式(英文)  

The Oppenheim type inequality on Fan product of M-matrices

作　　者：晏瑜敏[1] 冯晓霞[2] 杨忠鹏[1] 陈智雄[1] 

机构地区：[1]莆田学院数学系,福建莆田351100 [2]北华大学理学院,吉林吉林132013

出　　处：《黑龙江大学自然科学学报》2004年第4期85-88,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the Science Foundation of Fujian Educational Department (JA03159); the Science ResearchFoundation of Putian University(2004Q003; 2004Q002)

摘　　要：首先指出张胜关于M-矩阵Fan乘积的行列式下界的估计不比两个M矩阵的Fan乘积的Oppenheim型不等式的结果好,然后进一步推广了两个M矩阵的Fan乘积的Oppenheim型不等式,并且说明推广的结果优于已知的张胜的结论.Firstly, it is pointed out that the estimation on the lower bound of the determinant for Fan product of M- matrices in Zhang Sheng [Journal of Nanjing Normal University, 22(2)(1999), 19-23] is not better than the Oppenheim type inequality on Fan product of M-matrices. Secondly, the Oppenheim-type inequalities on Fan product of two M-matrices are generalized. Finally, it is indicated that our results are superior to the results of Zhang Sheng.

关 键 词：Fan乘积 OPPENHEIM型不等式 M-矩阵 行列式 下界 

分 类 号：O151.21[理学—数学]