逆M-矩阵与正定矩阵Hadamard乘积行列式的下界  

The Lower Bound of the Determinant for Hadamard Product of an Inverse M-matrix and a Positive Definite Matrix

作　　者：杨忠鹏[1] 

机构地区：[1]莆田学院数学与应用数学系,福建莆田351100

出　　处：《莆田学院学报》2005年第5期1-4,共4页Journal of putian University

基　　金：福建省自然科学基金项目(Z0511051);福建省教育厅科研项目(JA03157);莆田学院科研基金项目(2004Q002)

摘　　要：首先改进了用于实对称正定矩阵的Hadamard乘积的行列式的下界估计的经典的Oppenheim不等式的加强形式,然后应用这个结论和逆M-矩阵的性质,得到了实对称正定矩阵和逆M-矩阵的Hadamard乘积的行列式的新下界估计。Firstly, we improve the strengthened form of classical Oppenheim type inequality which plays a role in estimating the lower bound of the determinant for Hadamard product of real symmetric positive definite matrices. Secondly, making use of the result and the properties of inverse M-matrix, we obtain a new estimation on the lower bound of the determinant for Hadamard product of a real symmetric positive definite matrix and an inverse M-matrix.

关 键 词：实对称正定矩阵 HADAMARD乘积 逆M-矩阵 行列式的下界 OPPENHEIM不等式 

分 类 号：O151.21[理学—数学]