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The inverses of some circulant matrices
dc.contributor.author | Carmona Mejías, Ángeles |
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Gago Álvarez, Silvia |
dc.contributor.author | Jiménez Jiménez, María José |
dc.contributor.author | Mitjana Riera, Margarida |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-01-12T18:32:52Z |
dc.date.available | 2016-01-12T18:32:52Z |
dc.date.issued | 2015-11-01 |
dc.identifier.citation | Carmona, A., Encinas, A., Gago, S., Jiménez, M.J., Mitjana, M. The inverses of some circulant matrices. "Applied mathematics and computation", 01 Novembre 2015, vol. 270, p. 785-793. |
dc.identifier.issn | 0096-3003 |
dc.identifier.uri | http://hdl.handle.net/2117/81331 |
dc.description.abstract | We present here necessary and su cient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related with the solution of boundary value problems associated to second order linear di erence equations. Consequently, we reduce the computational cost of the problem. In particular, we recover the inverses of some well known circulant matrices whose coe cients are arithmetic or geometric sequences,Horadam numbers among others. We also characterize when a general symmetric circulant and tridiagonal matrix is invertible and in this case, we compute explicitly its inverse. |
dc.format.extent | 9 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal |
dc.subject.lcsh | Matrices |
dc.title | The inverses of some circulant matrices |
dc.type | Article |
dc.subject.lemac | Matrius (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.subject.ams | Classificació AMS::15 Linear and multilinear algebra; matrix theory |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0096300315011406 |
dc.rights.access | Open Access |
local.identifier.drac | 17239736 |
dc.description.version | Preprint |
local.citation.author | Carmona, A.; Encinas, A.; Gago, S.; Jiménez, M.J.; Mitjana, M. |
local.citation.publicationName | Applied mathematics and computation |
local.citation.volume | 270 |
local.citation.startingPage | 785 |
local.citation.endingPage | 793 |
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