矩阵Hadamard积的最小特征值下界的估计

New Lower Bound on the Minimum Eigenvalue for the Hadamard Product of Matrices

利用Brauer定理,给出非奇异M-矩阵A与其逆矩阵的Hadamard积A■A-1的最小特征值下界的新估计式.理论证明和数值算例表明所得估计结果比现有结果更为精确.

By using Brauer theorem, a new lower bound on the minimum eigenvalue for the Hadamard product A°A-1 of nonsinggular M-matrix and its inverse is given. Theoretical result and an example demonstrate that the new bound is better than some existing ones.