A Sufficient condition for strict total positivity of a matrix

Abstract

We establish a sufficient condition for strict total positivity of a matrix In particular, we show that if the (positive) elements of a square matrix grow sufficiently fast as their distance from the diagonal of the matrix increases, then the matrix is strictly totally positive.

Keywords:

• Hankel matrix
• increasing sequence
• moment
• totally positive matrix

Mathematics Subject Classification:

• 15A48
• 15A57