Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices 被引量：5

Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices

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摘要 A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results. A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results.

作者 Dongjie Gao

机构地区 Department of Mathematics

出处《Advances in Linear Algebra & Matrix Theory》 2015年第3期90-97,共8页 线性代数与矩阵理论研究进展（英文）

关键词 M-MATRIX NONNEGATIVE Matrix FAN PRODUCT HADAMARD PRODUCT Spectral Radius Minimum EIGENVALUE M-Matrix Nonnegative Matrix Fan Product Hadamard Product Spectral Radius Minimum Eigenvalue

分类号 O1 [理学—基础数学]

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4王峰.矩阵的Hadamard积和Fan积的特征值界的新估计[J].广西师范大学学报（自然科学版）,2015,33(3):66-70. 被引量：7
5孙德淑.非负矩阵Hadamard积的谱半径上界和M-矩阵Fan积的最小特征值下界的新估计[J].西南师范大学学报（自然科学版）,2016,41(2):7-11. 被引量：13

引证文献5

1钟琴,牟谷芳.关于M-矩阵Fan积最小特征值的不等式[J].中北大学学报（自然科学版）,2018,39(6):637-641. 被引量：2
2钟琴.M-矩阵Fan积特征值界的不等式[J].中国科技论文,2018,13(17):2001-2004. 被引量：1
3黄宽娜,刘徽,韩仲明.M-矩阵Fan积最小特征值的不等式[J].数学的实践与认识,2019,49(13):259-264. 被引量：3
4刘徽,黄宽娜.非负矩阵Hadamard积谱半径的下界序列[J].数学的实践与认识,2019,49(18):188-192. 被引量：1
5Tao Chen.Some Vector Ky Fan Minimax Inequalities with Nonconvex Domain[J].Journal of Applied Mathematics and Physics,2022,10(7):2175-2180.

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1陈付彬.M-矩阵Fan积的新不等式[J].西南师范大学学报（自然科学版）,2020,45(8):1-5. 被引量：5
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3李华,李亚杰.M-矩阵Fan积最小特征值估计[J].河南城建学院学报,2022,31(4):89-92.
4张晓凤,陈付彬,罗欢.矩阵Fan积的最小特征值[J].贵州大学学报（自然科学版）,2022,39(5):25-28. 被引量：1
5周平.关于M-矩阵Schur积最小特征值的几个新不等式[J].新余学院学报,2023,28(3):45-50.

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Advances in Linear Algebra & Matrix Theory

2015年第3期

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Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices 被引量：5

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