totally positive matrix; Monge matrix; semigroup; Vandermonde-like matrix
A close relationship between the class of totally positive matrices and anti-Monge matrices is used for suggesting a new direction for investigating totally positive matrices. Some questions are posed and a partial answer in the case of Vandermonde-like matrices is given.
 Fallat, S. M., Johnson, C. R.: Totally Nonnegative Matrices
. Princeton Series in Applied Mathematics Princeton University Press, Princeton (2011). MR 2791531
 Fiedler, M.: Equilibrated anti-Monge matrices
. Linear Algebra Appl. 335 (2001), 151-156. MR 1850820
| Zbl 0983.15023