dc.creator | Álvarez Solano, Víctor | es |
dc.creator | Armario Sampalo, José Andrés | es |
dc.creator | Frau García, María Dolores | es |
dc.creator | Gudiel Rodríguez, Félix | es |
dc.date.accessioned | 2021-06-25T11:03:59Z | |
dc.date.available | 2021-06-25T11:03:59Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D. y Gudiel Rodríguez, F. (2012). The maximal determinant of cocyclic (−1, 1)-matrices over D2t. Linear Algebra and its Applications, 436 (4), 858-873. | |
dc.identifier.issn | 0024-3795 | es |
dc.identifier.uri | https://hdl.handle.net/11441/114855 | |
dc.description.abstract | Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices satisfy that and give the solution to the maximal determinant problem when or a multiple of 4. In this paper, we approach the maximal determinant problem using cocyclic matrices when . More concretely, we give a reformulation of the criterion to decide whether or not the determinant with entries attains the Ehlich-Wojtas’ bound in the -cocyclic framework. We also provide some algorithms for constructing -cocyclic matrices with large determinants and some explicit calculations up to . | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.description.sponsorship | Junta de Andalucía P07-FQM-02980 | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades MTM2008-06578 | es |
dc.format | application/pdf | es |
dc.format.extent | 16 | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Linear Algebra and its Applications, 436 (4), 858-873. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Cocyclic matrix | es |
dc.subject | Maximal determinants | es |
dc.subject | D-optimal designs | es |
dc.subject | Gram matrices | es |
dc.title | The maximal determinant of cocyclic (−1, 1)-matrices over D2t | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.projectID | P07-FQM-02980 | es |
dc.relation.projectID | MTM2008-06578 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S002437951100423X?via%3Dihub | es |
dc.identifier.doi | 10.1016/j.laa.2011.05.018 | es |
dc.journaltitle | Linear Algebra and its Applications | es |
dc.publication.volumen | 436 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 858 | es |
dc.publication.endPage | 873 | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |