On the complete pivoting conjecture for Hadamard matrices of small orders

Authors

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

RIS ID

6374

Publication Details

This article was originally published as: Koukouvinos, C, Mitrouli, M & Seberry, J, On the complete pivoting conjecture for Hadamard matrices of small orders, Journal of Research and Practice in Information Technology, 2001, 33, 294-296. Copyright 2001 Australian Computer Society Inc.

Abstract

In this paper we study explicitly the pivot structure of Hadamard matrices of small orders 16, 20 and 32. An algorithm computing the (n — j) x (n — j) minors of Hadamard matrices is presented and its implementation for n = 12 is described. Analytical tables summarizing the pivot patterns attained are given.