Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices
Combinatorics
2012-01-23 v1
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.
Cite
@article{arxiv.1201.4332,
title = {Embedding cocyclic D-optimal designs in cocyclic Hadamard matrices},
author = {Víctor Álvarez and José-Andrés Armario and María-Dolores Frau and Félix Gudiel},
journal= {arXiv preprint arXiv:1201.4332},
year = {2012}
}
Comments
17 pages, 0 figures