| M-矩阵 Fan 积的最小特征值下界的新估计 |
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| 引用本文： | 陈付彬,赵建兴. M-矩阵 Fan 积的最小特征值下界的新估计[J]. 安徽大学学报(自然科学版), 2016, 40(3): 12-16. DOI: 10.3969/j.issn.1000-2162.2016.03.003 |
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| 作者姓名： | 陈付彬 赵建兴 |
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| 作者单位： | 昆明理工大学津桥学院,云南昆明,650106;贵州民族大学理学院,贵州贵阳,550025 |
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| 基金项目： | 国家自然科学基金资助项目(71161020,11501141);云南省教育厅科学研究基金资助项目(2013C165,2015C107Y) |
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| 摘 要： | 利用Cauchy-Schwitz不等式给出非奇异M-矩阵A和B的Fan积AB的最小特征值下界的新估计式,并与其他文献中的估计式进行比较.数值算例表明,新估计式在一定条件下改进了Johnson和Horn给出的经典估计式,同时也优于其他已有的几个估计式,比现有的估计式更接近真值.
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| 关 键 词： | M-矩阵 Fan积 最小特征值 下界 |
New estimation on lower bound for the minimum eigenvalue of the Fan product of M-matrices |
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| CHEN Fubin,ZHAO Jianxing. New estimation on lower bound for the minimum eigenvalue of the Fan product of M-matrices[J]. Journal of Anhui University(Natural Sciences), 2016, 40(3): 12-16. DOI: 10.3969/j.issn.1000-2162.2016.03.003 |
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| Authors: | CHEN Fubin ZHAO Jianxing |
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| Abstract: | A new lower bound on the minimum eigenvalue for the Fan product AB of two nonsingular M‐matrices Aand Bwas given by using Cauchy‐Schwitz inequality and compared the new bound with the classical results in the literature .Numerical example showed that the new estimating formula improve the result of Johnson and Horn effectively in some ca‐ses ,and also was better than the other existing results ,which approached the real value than existing ones . |
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| Keywords: | M-matrix fan product minimum eigenvalue lower bound |
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