中文摘要：

分别给出了非奇异M-矩阵的逆矩阵和非奇异M-矩阵的Hadamard积与非奇异M-矩阵Fan积的最小特征值下界新的估计式；同时给出了非负矩阵Hadamard积的谱半径上界新的估计式；这些估计式都只依赖于矩阵的元素，易于计算．算例表明，这些估计式在一定条件下改进了现有结果．

英文摘要：

A new lower bound of the minimum eigenvalues of Hadamard product for inverse A -l of nonsingu- lar M - matrix A and nonsingular M - matrix- B, a new lower bound of the smallest eigenvalues of Fan product for nonsingular M - matrices A and B, and a new supper bound of the spectral radius of Hadamard product for non- negative matrices A and B, are given respectively. These three estimating formulas of the bounds are easier to cal- culate since they only depend on the entries of matrices A and B. The given examples show that the estimating for- mulas of the bounds are better than several known estimating formulas.