| M矩阵Hadamard积的最小特征值新下界 |
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| 引用本文： | 蒋建新,李艳艳.M矩阵Hadamard积的最小特征值新下界[J].海南大学学报(自然科学版),2014(1):12-14,20. |
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| 作者姓名： | 蒋建新 李艳艳 |
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| 作者单位： | 文山学院数学学院,云南文山663000 |
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| 基金项目： | 云南省教育厅科学研究基金项目（2013Y585）;云南省教育厅科学研究基金项目（2012Y270）;文山学院重点学科数学建设项目（12WSXK01） |
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| 摘 要： | 利用相似矩阵的性质和矩阵特征值包含域定理,给出了系数可调节的新的矩阵特征值包含域定理,当系数选择为非奇异M矩阵A的逆矩阵A-1的元素估计式的上界时得到了q(A·A-1),q(B·A-1)新的下界.
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| 关 键 词： | M矩阵 Hadamard积 下界 最小特征值 |
New Lower Bounds for the Minimum Eigenvalue of Hadamard Product of M Matrices |
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| JIANG Jian-xin,LI Yan-yan.New Lower Bounds for the Minimum Eigenvalue of Hadamard Product of M Matrices[J].Natural Science Journal of Hainan University,2014(1):12-14,20. |
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| Authors: | JIANG Jian-xin LI Yan-yan |
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| Institution: | (School of Mathematics, Wenshan University, Wenshan 663000, China) |
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| Abstract: | The properties of similar matrix and the theorem for inclusion region of a matrix were used to obtain a new one which has adjustable nonsingular matrix elements, q（. ） means the smallest real value, when the coefficient estimates was the upper hounds for the inverse matrix the new lower bounds for q（A o A -1 ） and q（B o A-1 ）were obtained, in which part of the eigenvalues of a matrix and A ,B are M matrices. |
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| Keywords: | M matrix Hadamard product lower bounds minimum eigenvalue |
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