On the computation of maximum minors of Hadamard matrices
In this paper, we use an algebraic method to compute the j x j, j = 1, 2, n minors of Hadamard matrices of order n. Specifically, we investigate the appearance of maximum values of minors. The presented algorithm is tested for several values of j and for Hadamard matrices of order 20. This algorithm is useful in the study of the growth factor for Hadamard matrices, which is a very interesting unsolved problem in the area of Numerical Analysis. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
minors hadamard matrices algorithm maximum determinants