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Embedding cocylic D-optimal designs in cocylic Hadamard matrices

 

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Opened Access Embedding cocylic D-optimal designs in cocylic Hadamard matrices
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Author: Álvarez Solano, Víctor
Armario Sampalo, José Andrés
Frau García, María Dolores
Gudiel Rodríguez, Félix
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2012
Published in: ELA : Electronic Journal of Linear Algebra, 24 (artículo 7)
Document type: Article
Abstract: 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: Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D. y Gudiel Rodríguez, F. (2012). Embedding cocylic D-optimal designs in cocylic Hadamard matrices. ELA : Electronic Journal of Linear Algebra, 24 (artículo 7)
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URI: https://hdl.handle.net/11441/87402

DOI: 10.13001/1081-3810.1580

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