DeepAI

# Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices

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.

• 5 publications
• 1 publication
09/27/2018

### Bohemian Upper Hessenberg Toeplitz Matrices

We look at Bohemian matrices, specifically those with entries from {-1, ...
09/27/2018

### Bohemian Upper Hessenberg Matrices

We look at Bohemian matrices, specifically those with entries from {-1, ...
04/18/2019

### An extremal problem for integer sparse recovery

Motivated by the problem of integer sparse recovery we study the followi...
06/30/2020

### The finiteness conjecture holds in SL(2,Z>=0)^2

Let A,B be matrices in SL(2,R) having trace greater than or equal to 2. ...
10/25/2017

### Cross-identification of stellar catalogs with multiple stars: Complexity and Resolution

In this work, I present an optimization problem which consists of assign...
05/13/2019

### On Semigroups of Two-Dimensional Upper-Triangular Integer Matrices

We analyze algorithmic problems in finitely generated semigroups of two-...
02/15/2022

### Bohemian Matrix Geometry

A Bohemian matrix family is a set of matrices all of whose entries are d...