| Título |
Matrices totally positive relative to a tree, II |
| Autores |
COSTAS SANTOS, ROBERTO SANTIAGO, Johnson, C. R. |
| Publicación externa |
Si |
| Medio |
Linear Algebra Its Appl |
| Alcance |
Article |
| Naturaleza |
Científica |
| Cuartil JCR |
1 |
| Cuartil SJR |
1 |
| Impacto JCR |
0.97300 |
| Impacto SJR |
1.07000 |
| 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 |
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