The undirected graph and estimates of matrix singular values
New theorems for estimating the singular values of a matrix are established using the associated undirected graph. 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 Brauer's and Brualdi' s theorems for eigenvalues. Examples show that in many cases more precise estimates can be obtained than those in the related literature.
scientific article; zbMATH DE number 1371039