Limits of quotients of bivariate real analytic functions
| dc.citation.journalTitle | Journal Of Symbolic Computation | |
| dc.contributor.author | Cadavid, C. | |
| dc.contributor.author | Molina, S. | |
| dc.contributor.author | Velez, J. D. | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ciencias | spa |
| dc.contributor.researchgroup | Matemáticas y Aplicaciones | spa |
| dc.creator | Cadavid, C. | |
| dc.creator | Molina, S. | |
| dc.creator | Velez, J. D. | |
| dc.date.accessioned | 2021-04-12T14:04:17Z | |
| dc.date.available | 2021-04-12T14:04:17Z | |
| dc.date.issued | 2013-03-01 | |
| dc.description.abstract | Necessary and sufficient conditions for the existence of limits of the form lim (x,y)?(a,b)f(x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an isolated zero at (a, b). The given criterion uses a constructive version of Hensel's Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals. A high level description of an algorithm for determining the existence of the limit as well as its computation is provided. © 2012 Elsevier B.V. | eng |
| dc.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1317 | |
| dc.identifier.doi | 10.1016/j.jsc.2012.07.004 | |
| dc.identifier.issn | 7477171 | |
| dc.identifier.other | WOS;000312574000010 | |
| dc.identifier.other | SCOPUS;2-s2.0-84870249582 | |
| dc.identifier.uri | http://hdl.handle.net/10784/27678 | |
| dc.language.iso | eng | eng |
| dc.publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | |
| dc.relation.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84870249582&doi=10.1016%2fj.jsc.2012.07.004&partnerID=40&md5=c746c6d573a0d2e0fbca8e7c32e6ec31 | |
| dc.rights | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | |
| dc.source | Journal Of Symbolic Computation | |
| dc.subject | Hensel's Lemma | eng |
| dc.subject | Limits | eng |
| dc.subject | Puiseux series | eng |
| dc.subject | Real analytic functions | eng |
| dc.title | Limits of quotients of bivariate real analytic functions | eng |
| dc.type | article | eng |
| dc.type | info:eu-repo/semantics/article | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type | publishedVersion | eng |
| dc.type.local | Artículo | spa |
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