On the permanent of Sylvester-Hadamard matrices - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2019

On the permanent of Sylvester-Hadamard matrices

Abstract

We prove a conjecture due to Wanless about the permanent of Hadamard matrices in the particular case of Sylvester-Hadamard matrices. Namely we show that for all n greater or equal to 2, the dyadic valuation of the permanent of the Sylvester-Hadamard matrix of order n is equal to the dyadic valuation of n!. As a consequence, the permanent of the Sylvester-Hadamard matrix of order n doesn't vanish for n greater or equal to 2.

Dates and versions

hal-02316978 , version 1 (15-10-2019)

Identifiers

Cite

Ulysse Chabaud. On the permanent of Sylvester-Hadamard matrices. 2019. ⟨hal-02316978⟩
29 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More