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

Authors

C. Koukouvinos, National Technical University of Athens, Greece
M. Mitrouli, University of Athens, Greece
Jennifer Seberry, University of WollongongFollow

RIS ID

7784

Publication Details

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.