The undirected graph and estimates of matrix singular values Original Research Article

With the help of the undirected graph of a matrix we establish new theorems for estimating the singular values. The location of singular values of a matrix A is described in terms of its deleted absolute row sums and column sums. The formulation has an appearance analogous to Brauerʹs and Brualdiʹs theorems for eigenvalues. Examples show that in many cases our results can provide more precise estimates than those in the related literature.