On the computation of maximum minors of Hadamard matrices

C. Koukouvinos, E. Lappas and M. Mitrouli

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 67, issue 1, 33-44

Abstract: 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.

Keywords: Hadamard matrices; Minors; Maximum determinants; Algorithm (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:67:y:2004:i:1:p:33-44

DOI: 10.1016/j.matcom.2004.05.006

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