Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally DominantM-Matrices

[摘要] LetAbe a doubly strictly diagonally dominantM-matrix. Inequalities on upper and lower bounds for the entries of the inverse ofAare given. And some new inequalities on the lower bound for the minimal eigenvalue ofAand the corresponding eigenvector are presented to establish an upper bound for theL1-norm of the solutionx(t)for the linear differential systemdx/dt=-Ax(t),x(0)=x0>0.

[学科分类] 应用数学