An infinite family of Hadamard matrices with fourth last pivot n/2

C. Koukouvinos, National Technical University of Athens, Greece
M. Mitrouli, University of Athens, Greece
J. Seberry, University of Wollongong

Article comments

This article was originally published as Koukouvinos, C, Mitrouli, M and Seberry, J, An infinite family of Hadamard matrices with fourth last pivot n/2, Linear and Multilinear Algebra, 50, 2002, 167-173. Copyright Taylor & Francis. Original journal avalailable here.

Abstract

We show that the equivalence class of Sylvester Hadamard matrices give an infinite family of Hadamard matrices in which the fourth last pivot is n/2 . Analytical examples of Hadamard matrices of order n having as fourth last pivot n/2 are given for n = 16 and 32. In each case this distinguished case with the fourth pivot n/2 arose in the equivalence class containing the Sylvester Hadamard matrix.