| T关于M矩阵的Fan乘积的Oppenheim型不等式(英文) |
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| 引用本文： | 晏瑜敏,冯晓霞,杨忠鹏,陈智雄.T关于M矩阵的Fan乘积的Oppenheim型不等式(英文)[J].黑龙江大学自然科学学报,2004(4). |
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| 作者姓名： | 晏瑜敏 冯晓霞 杨忠鹏 陈智雄 |
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| 作者单位： | 莆田学院数学系 福建莆田351100
(晏瑜敏，杨忠鹏)，北华大学理学院 吉林吉林132013
(冯晓霞)，莆田学院数学系 福建莆田351100(陈智雄) |
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| 基金项目： | Supported by the Science Foundation of Fujian Educational Department (JA03159)，the Science ResearchFoundation of Putian University(2004Q003，2004Q002) |
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| 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.
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| 关 键 词： | Fan乘积 Oppenheim型不等式 M-矩阵 行列式 下界 |
The Oppenheim type inequality on Fan product of M-matrices |
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| YAN Yu-min,FENG Xiao-xia,YANG Zhong-peng,CHEN Zhi-xiong.The Oppenheim type inequality on Fan product of M-matrices[J].Journal of Natural Science of Heilongjiang University,2004(4). |
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| Authors: | YAN Yu-min FENG Xiao-xia YANG Zhong-peng CHEN Zhi-xiong |
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| Institution: | YAN Yu-min1,FENG Xiao-xia2,YANG Zhong-peng1,CHEN Zhi-xiong1 |
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| Abstract: | 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. |
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| Keywords: | Fan product Oppenheim-type inequality M-matrix determinant lower bound |
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