| Title |
Matrices totally positive relative to a tree, II |
| Authors |
COSTAS SANTOS, ROBERTO SANTIAGO, Johnson, C. R. |
| External publication |
Si |
| Means |
LINEAR ALGEBRA AND ITS APPLICATIONS |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
1 |
| SJR Quartile |
1 |
| JCR Impact |
0.973 |
| SJR Impact |
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 |
| Publication date |
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. |
| Keywords |
Graph; Neumaier conclusion; Spectral theory; Sylvester's identity; Totally positive matrix; Totally positive relative to a tree |
| Universidad Loyola members |
|
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