Johnson, Charles R. , COSTAS SANTOS, ROBERTO SANTIAGO, Tadchiev, Boris

Si

Electron. J. Linear Algebra

Article

Científica

2

1

0.892

0.981

https://www.scopus.com/inward/record.uri?eid=2-s2.0-65749091058&doi=10.13001%2f1081-3810.1306&partnerID=40&md5=04326a2e75f0d955202c715366e91896

01/04/2009

000265108300001

2-s2.0-65749091058

10.13001/1081-3810.1306

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.

Totally positive matrices; Sylvester's identity; Graph theory; Spectral theory

• ROBERTO SANTIAGO COSTAS SANTOS