M-矩阵及其逆矩阵的Hadamard积特征值的下界估计

Estimate of bounds for the eigenvalue of Hadamard product of an M-matrix and its inverse

设n阶阵A为严格块对角占优阵,给出了其逆阵A-1的块元素的范数估计;进而若A为非奇异M-阵,得到了AoA-1最小特征值新的下界估计,且该下界不小于2/n.

Let A be a strictly block diagonally dominant matrix, the norms for blocks of its inverse were estimated. Furthermore, if A is an M-matrix, we gave a new bounds of the minimum eigenvalue of A ° A^-1, and proved that the bounds are less than 2/n.