非奇异M-矩阵Hadamard积的最小特征值的下界估计

Estimate of lower bounds for minimum eigenvalue of Hadamard product of nonsingular M-matrices

设A和B是非奇异M-矩阵,给出B和A-1的Hadamard积的最小特征值的新下界估计式,且下界序列是单调递增收敛的.通过数值算例验证所得结果表明在一定条件下比现有结果精确.

If A and B are nonsingular M-matrices,These new lower bounds on the minimum eigenvalue of the Hadamard product for B and A-1 are given,and the lower bounds are monotone increasing and convergence sequences.Numerical example is given to show that the theoretical results are more accurate than some known results in some cases.