On the computation of maximum minors of Hadamard matrices

In this paper, we use an algebraic method to compute the j×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.

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Year of publication:	2004
Authors:	Koukouvinos, C. ; Lappas, E. ; Mitrouli, M.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 67.2004, 1, p. 33-44
Publisher:	Elsevier
Subject:	Hadamard matrices \| Minors \| Maximum determinants \| Algorithm

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050643