数学与计算机科学 |
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非奇异M-矩阵Hadamard积的最小特征值的新下界 |
赵建兴, 桑彩丽 |
贵州民族大学 数据科学与信息工程学院, 贵州 贵阳 550025 |
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New lower bounds for the minimum eigenvalue of the Hadamard product of nonsingular M-matrices |
ZHAO Jianxing, SANG Caili |
College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China |
[1] 黄廷祝,杨传胜.特殊矩阵分析及应用[M].北京:科学出版社,2003. HUANG T Z, YANG C S. Special Matrix Analysis and Applications[M]. Beijing:Science Press,2003. [2] HORN R A, JOHNSON C R. Topics in Matrix Analysis[M]. Cambridge:Cambridge University Press,1991. [3] HIAI F, LIN M. On an eigenvalue inequality involving the Hadamard product[J]. Linear Algebra and Its Applications,2017,515:313-320. [4] LI Y T, CHEN F B, WANG D F. New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse[J]. Linear Algebra and Its Applications,2009,430:1423-1431. [5] ZHOU D M, CHEN G L, WU G X, et al. On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices[J]. Linear Algebra and Its Applications,2013,438:1415-1426. [6] CHENG G H, TAN Q, WANG Z D. Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse[J]. Journal of Inequalities and Applications,2013,65:1-9. [7] LI Y T, WANG F, LI C Q, et al. Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix[J]. Journal of Inequalities and Applications,2013,480:1-8. [8] 赵建兴,桑彩丽.非奇异矩阵的Hadamard积的最小特征值的估计[J]. 数学的实践与认识,2015,45(9):242-249. ZHAO J X, SANG C L. An sequences of the upper and lower bounds of the minimum eigenvalue of the Hadamard product for an M-matrix[J]. Mathematics in Practice and Theory,2015,45(9):242-249. [9] CHENG G, TAN Q L, WANG Z X. Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix[J]. Journal of Inequalities and Applications,2013,2013(1):16. [10] ZHDANOVA I V, ROGERS J, GONZALEZMARTINEZ J, et al. New inequalities for the Hadamard product of an M-matrix and its inverse[J]. Journal of Inequalities and Applications,2015,2015(1):1-12. |
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