Bidiagonal decompositions and total positivity of some special matrices

Priyanka Grover, Veer Singh Panwar

The matrix $S=[1+x_i{y}_j{]}_{i,j=1}^n,0<x_1<\cdots <x_n,0<y_1<\cdots <y_n$, has gained importance lately due to its role in powers preserving total nonnegativity. We give an ex…