2020/03/01 by Keating, Jonathan P., Keleş, Ahmet Abdullah
#Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Symbolic Computation (cs.SC)
paper · doi:10.48550/arxiv.2003.00454
A matrix is called Bohemian if its entries are sampled from a finite set of integers. We determine the maximum absolute determinant of upper Hessenberg Bohemian Matrices for which the subdiagonal entries are fixed to be 1 and upper triangular entries are sampled from \0,1,⋯,n\, extending previous results for n=1 and n=2 and proving a recent conjecture of Fasi & Negri Porzio [8]. Furthermore, we generalize the problem to non-integer-valued entries.