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Single-factor lifting and factorization of polynomials over local fields
dc.contributor.author | Guàrdia Rubies, Jordi |
dc.contributor.author | Nart, Enric |
dc.contributor.author | Pauli, S. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2012-09-18T16:54:18Z |
dc.date.available | 2012-09-18T16:54:18Z |
dc.date.created | 2012-11 |
dc.date.issued | 2012-11 |
dc.identifier.citation | Guardia, J.; Nart, E.; Pauli, S. Single-factor lifting and factorization of polynomials over local fields. "Journal of symbolic computation", Novembre 2012, vol. 47, núm. 11, p. 1318-1346. |
dc.identifier.issn | 0747-7171 |
dc.identifier.uri | http://hdl.handle.net/2117/16519 |
dc.description.abstract | Let f (x) be a separable polynomial over a local field. The Montes algorithm computes certain approximations to the different irreducible factors of f (x), with strong arithmetic properties. In this paper, we develop an algorithm to improve any one of these approximations, till a prescribed precision is attained. The most natural application of this ‘‘single-factor lifting’’ routine is to combine it with the Montes algorithm to provide a fast polynomial factorization algorithm. Moreover, the single-factor lifting algorithm may be applied as well to accelerate the computational resolution of several global arithmetic problems in which the improvement of an approximation to a single local irreducible factor of a polynomial is required |
dc.format.extent | 29 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Algorithms |
dc.subject.lcsh | Polygons |
dc.subject.lcsh | Polynomials |
dc.subject.other | Local field |
dc.subject.other | Montes algorithm |
dc.subject.other | Montes approximation |
dc.subject.other | Newton polygon |
dc.subject.other | Okutsu approximation |
dc.subject.other | Polynomial factorization |
dc.title | Single-factor lifting and factorization of polynomials over local fields |
dc.type | Article |
dc.subject.lemac | Algorismes |
dc.subject.lemac | Polígons |
dc.subject.lemac | Polinomis |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.identifier.doi | 10.1016/j.jsc.2012.03.001 |
dc.rights.access | Open Access |
local.identifier.drac | 10615717 |
dc.description.version | Postprint (published version) |
local.citation.author | Guardia, J.; Nart, E.; Pauli, S. |
local.citation.publicationName | Journal of symbolic computation |
local.citation.volume | 47 |
local.citation.number | 11 |
local.citation.startingPage | 1318 |
local.citation.endingPage | 1346 |
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