The Hadamard product and the Fan product of matrices are important problems in the matrices theories. For the Hadamard product of two nonnegative matrices A and B, two new upper bounds of the spectral radius are given. For the Fan product of two M-matrices A and B, two new lower bounds of the smallest eigenvalues are given. The given numerical examples show that these estimating formulas improve several existing results in some cases, and these bounds are easier to calculate for they are only depending on the entries of matrices A and B.% 矩阵的Hadamard 积和Fan 积是矩阵理论研究的重要问题之一。对于两个非负矩阵A和B 的Hadamard积，给出了它的谱半径上界的两个新的估计式；同时对于两个非奇异M-矩阵A 和B 的Fan 积，给出了它的最小特征值下界的两个新的估计式；算例表明，所得估计式在某些情况下比现有估计式更为精确，并且这些估计式都只依赖于矩阵A和B 的元素，更容易计算。
展开▼
