M-矩阵Fan积特征值下界的估计

Estimation on lower bound for the eigenvalue of the Fan product of M-matrices

设A与B是非奇异M-矩阵,利用矩阵特征值包含域给出A与B的Fan积最小特征值下界的新估计式.数值算例说明所得估计式改进了现有的结果.

If A and B are nonsingular M-matrices,a new lower bound of the minimum eigenvalueτ(A*B)for the Fan product of A and B is given by using of eigenvalue inclusion domain.Numerical example shows that the new bound improves some existing results.