Showing papers by "Richard A. Brualdi published in 1982"
TL;DR: In this paper, the authors show how several classical results concerning inclusion regions and estimates for the eigenvalues of matrices can be unified and generalized by the use of directed graphs.
Abstract: We show how several classical results concerning inclusion regions and estimates for the eigenvalues of matrices can be unified and generalized by the use of directed graphs. Applications to nonnegative matricesM-matrices, and the spectra of graphs are given.
111 citations
TL;DR: In this article, the authors tie together some results concerning doubly stochastic matrices and their representations as convex combinations of permutation matrices, and present a convex permutation permutation matrix representation of the doubly-stochastic matrix.
Abstract: The purpose of this note is to tie together some results concerning doubly stochastic matrices and their representations as convex combinations of permutation matrices.
41 citations
TL;DR: In this article, the structure of powers of nonnegative matrices is investigated and the number of irreducible components of a nonnegative matrix can be determined from its powers.
15 citations
TL;DR: In this article, the authors characterize the class of m×n matrices of 0's and 1's having row sum vector R and column sum vector S having diameter at most 2.
9 citations