Publicaciones

Autores

COSTAS SANTOS, ROBERTO SANTIAGO, Johnson, C. R.

Publicación externa

Si

Medio

Linear Algebra Its Appl

Alcance

Article

Naturaleza

Científica

Cuartil JCR

✓

Cuartil SJR

✓

Impacto JCR

0.973

Impacto SJR

1.07

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964474465&doi=10.1016%2fj.laa.2016.04.021&partnerID=40&md5=34d6e31c84c9edbc1cc1278e9c89a4d2

Fecha de publicacion

15/09/2016

ISI

000378464500001

Scopus Id

2-s2.0-84964474465

DOI

10.1016/j.laa.2016.04.021

Abstract

If T is a labelled tree, a matrix A is totally positive relative to T, principal submatrices of A associated with deletion of pendent vertices of T are P-matrices, and A has positive determinant, then the smallest absolute eigenvalue of A is positive with multiplicity 1 and its eigenvector is signed according to T. This conclusion has been incorrectly conjectured under weaker hypotheses. (C) 2016 Elsevier Inc. All rights reserved.

Palabras clave

Graph; Neumaier conclusion; Spectral theory; Sylvester's identity; Totally positive matrix; Totally positive relative to a tree

Miembros de la Universidad Loyola

ROBERTO SANTIAGO COSTAS SANTOS

Matrices totally positive relative to a tree, II