关于非奇异M-矩阵A与非奇异M-矩阵B的逆矩阵的Hadamard积A·B！-1，利用optimally scaled矩阵， Jacobi迭代矩阵和矩阵特征值与特征向量的关系，给出A·B！-1的最小特征值下界新的估计式；同时，利用相同的方法给出非奇异M-矩阵A与B的Fan积A★B的最小特征值下界新的估计式。通过算例分析表明，新估计式在一定条件下改进了现有结果。%For the Hadamard product A·B!-1 of two nonsingular M-matrices A and B,some new lower bounds for the minimum eigenvalue of A·B !-1 are given by using optimally scaled matrix,Jacobi iterative matrix and the relationship between matrix eigenvalue and eigenvector. In addition,a new lower bound on the smallest eigenvalue of A★B for the Fan product of nonsingular M-matrices A and B is derived with the same method. Finally,the given numerical examples show that these bounds improve several existing results in some cases.
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