New upper and lower bounds on the smallest singular values of nonsingular lower triangular $(0,1)$-matrices

Vesa Kaarnioja, André-Alexander Zepernick

Let $K_n$ denote the set of all nonsingular $n\times n$ lower triangular $(0,1)$-matrices. Hong and Loewy (2004) introduced the number sequence $$ c_n=\min\{λ\midλ~\text{is an ei…