| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598520 | Linear Algebra and its Applications | 2016 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
R.S. Costas-Santos, C.R. Johnson,