Communications of the
Korean Mathematical Society CKMS

We show that each element in the semigroup $S_n$ of all $n \times n$ non-singular stochastic totally positive matrices is generated by the infinitesimal elements of $S_n$, which form a cone consisting of all $n \times n$ Jacobi intensity matrices.

Keywords: stochastic matrix, intensity matrix, totally positive matrix, Jacobi matrix

MSC numbers: 2.20E+100