次M矩阵的Hadamard不等式的进一步改进

A New Improvement of Hadamard Inequality for Sub-M Matries

本文研究次M矩阵的行列式性质,讨论了对其上的Hadamard-Fischer不等式的改进,得到的主要结果是:对任一非奇异n阶次M矩阵A,都有:

In this paper,the authors investigate the properties of the determinant's inequality of a sub-M matrix,and prove the following result:Let A= (aij) be a n×n nonsingular sub-M matrix, then