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dc.contributor.authorCaravantes Tortajada, Jorge 
dc.contributor.authorGómez Molleda, María Ángeles
dc.contributor.authorGonzález Vega, Laureano 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2014-11-26T14:08:54Z
dc.date.available2014-11-26T14:08:54Z
dc.date.issued2014
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.otherMTM2011-25816-C02-02
dc.identifier.urihttp://hdl.handle.net/10902/5728
dc.description.abstractWe present in this paper a canonical form for the elements in the ring of continuous piecewise polynomial functions. This new representation is based on the use of a particular class of functions fCi(P) : P 2 Q[x]; i = 0; : : : ; deg(P)g de ned by Ci(P)(x) = 0 if x P(x) if x where is the i-th real root of the polynomial P. These functions will allow us to represent and manipulate easily every continuous piecewise polynomial function through the use of the corresponding canonical form. It will be also shown how to produce a \rational" representation of each function Ci(P) allowing its evaluation by performing only operations in Q and avoiding the use of any real algebraic number. Keywords: Continuous piecewise polynomial functions; Pierce-Birkho conjecture; Canonical form for func- tions; Conversion algorithms.es_ES
dc.format.extent12 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.rights© Elsevier B.V.es_ES
dc.sourceAceptado en Journal of Computational and Applied Mathematicses_ES
dc.titleA canonical form for the continuous piecewise polynomial functionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttp://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/es_ES
dc.rights.accessRightsopenAccesses_ES
dc.type.versionsubmittedVersiones_ES


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