| Title |
MATRICES TOTALLY POSITIVE RELATIVE TO A TREE |
| Authors |
Johnson, Charles R. , COSTAS SANTOS, ROBERTO SANTIAGO, Tadchiev, Boris |
| External publication |
Si |
| Means |
Electronic Journal of Linear Algebra |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
2 |
| SJR Quartile |
1 |
| JCR Impact |
0.892 |
| SJR Impact |
0.981 |
| Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-65749091058&doi=10.13001%2f1081-3810.1306&partnerID=40&md5=04326a2e75f0d955202c715366e91896 |
| Publication date |
01/04/2009 |
| ISI |
000265108300001 |
| Scopus Id |
2-s2.0-65749091058 |
| DOI |
10.13001/1081-3810.1306 |
| 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 |
Totally positive matrices; Sylvester's identity; Graph theory; Spectral theory |
| Universidad Loyola members |
|
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