M-矩阵Hadamard积的特征值新界

New Bounds for the Eigenvalue of the Hadamard Product of M-matrices

依据Gerschgorin定理,对于非奇异M-矩阵Hadamard积的最小特征值下界,给出只与矩阵元素相关且容易计算的新估计式,并从理论和例子两个方面进行分析,以表明本文的新估计式在某些条件下改进了Fiedler和Markham的结论,同时也优于其他的一些结论。

According to Gerschgorin theorem,for the lower bound of the minimum eigenvalue of the non-singular matrix Hadamard product,a new estimation formula which is only related to the matrix elements and easy to calculate is given.It is also analyzed from two aspects of theory and examples to show that the new estimation formula in this paper improves the conclusions of Fiedler and Markham under some conditions,and is also superior to some other conclusions.