中文摘要：

对A和B是非奇异M矩阵,利用著名的Gerschgorin圆盘定理,给出了B和A-1的Hadamard积B。A-1的最小特征值τ（BA-1）新的下界估计式,此下界估计式改进了现有的几个结果,并且这个下界估计式只涉及矩阵A和B的元素,易于计算.例证表明,所得下界估计式要比现有的下界估计式更加精确.

英文摘要：

Let A and B be nonsingular M matrices,this paper gives a new lower bound which is the minimum eigenvalue τ（B 。A-1） of the Hadamard product of A-1 and B by applying the famous Gerschgorin disc theorem,the bound improves several existing results and the estimating formula is easier to calculate for it is only depending on the entries of matries A and B.The given numerical example shows that estimating formulas of the bound is better than several known estimating formulas.