An Algorithm to find Formulae and Values of Minors for Hadamard matrices: II

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

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This article was originally published as Koukouvinos, C, Lappas, E, Mitrouli, M and Seberry, J, An Algorithm to find Formulae and Values of Minors for Hadamard matrices: II, Linear Algebra and its Applications, 371, 2003, 111-124. Original Elsevier journal available here.

Abstract

An algorithm computing the (n — j) x (n — j ) , j = 1, 2, ... minors of Hadamard matrices of order n is presented. Its implementation is analytically described step by step for several values of n and j. For j = 7 the values of minors are computed for the first time. A formulae estimating all the values of (n — j) x (n — j) minors is predicted.