Matrices Totally Positive Relative to a Tree
Combinatorics
2020-06-30 v4
Abstract
It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has an alternating sign pattern. Here, a certain weakening of the TP hypothesis is shown to yield a similar conclusion.
Keywords
Cite
@article{arxiv.0710.1366,
title = {Matrices Totally Positive Relative to a Tree},
author = {Charles R. Johnson and Roberto S. Costas-Santos and Boris Tadchiev},
journal= {arXiv preprint arXiv:0710.1366},
year = {2020}
}
Comments
10 pages, LaTeX 2e, 3 figures