Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices

2012/01/20 by Víctor Álvarez, Álvarez, Víctor, José-Andrés Armario +5 · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1201.4332

17 pages, 0 figures

arxiv created 2012/01/20 · arxiv updated 2012/01/23

Abstract

In this paper a method for embedding cocyclic submatrices with ``large'' determinants of orders 2t in certain cocyclic Hadamard matrices of orders 4t is described (t an odd integer). If these determinants attain the largest possible value, we are embedding D-optimal designs. Applications to the pivot values that appear when Gaussian Elimination with complete pivoting is performed on these cocyclic Hadamard matrices are studied.

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• Determinants of (-1,1)-matrices of the skew-symmetric type: a cocyclic approach

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