Johnson, Charles R. , COSTAS SANTOS, ROBERTO SANTIAGO, Tadchiev, Boris
Si
Electron J. Linear Algebra
Article
Científica
0.892
0.981
01/04/2009
000265108300001
2-s2.0-65749091058
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