Title MATRICES TOTALLY POSITIVE RELATIVE TO A TREE
Authors Johnson, Charles R. , COSTAS SANTOS, ROBERTO SANTIAGO, Tadchiev, Boris
External publication Si
Means Electron J. Linear Algebra
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 0.89200
SJR Impact 0.98100
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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