M矩阵与其逆矩阵的Hadamard积最小特征值下界的研究

New Lower Bounds on Eigenvalue of the Hadamard Product of an M-matrix and Its Inverse

关于M矩阵和它的逆矩阵的Hadamard积AA-1,我们给出AA-1最小特征值的新的下界,这些下界提高了Fiedler和Markham的猜想,同时也改进了文献[1]中的相应结果。

For the Hadamard product A . A^-1 of an M-matrix and its inverseA^-1 , we give new lower bounds for the minimum eigenvalue of A . A^-1 . These bounds improve the Conjecture of Fiedler and Markham, and improve the corresponding results of [ 1 ].