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Complexity of the inversion algorithm of polynomial mappings


Complexity of the inversion algorithm of polynomial mappings

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dc.contributor.author Bogdan, Paweł [SAP14010193] pl
dc.date.accessioned 2017-10-18T07:31:27Z
dc.date.available 2017-10-18T07:31:27Z
dc.date.issued 2016 pl
dc.identifier.issn 1732-3916 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/45267
dc.language eng pl
dc.rights Dozwolony użytek utworów chronionych *
dc.rights.uri http://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf *
dc.title Complexity of the inversion algorithm of polynomial mappings pl
dc.type JournalArticle pl
dc.description.physical 209-225 pl
dc.abstract.en In this paper we will recall the inversion algorithm described in [1]. The algorithm classifies polynomial automorphisms into two sets: Pascal finite and Pascal infinite. In this article the complexity of the inversion algorithm will be estimated. To do so, we will present two popular ways how Computer Algebra Systems (CASes) keep the information about multivariate polynomials. We will define the complexity as the amount of simple operations performed by the algorithm as a function of the size of the input. We will define simple operations of the algorithm. Then we will estimate complexity of checking that the polynomial map is not a polynomial automorphism. To do so we will use theorem 3.1 from [1]. pl
dc.subject.en polynomial automorphism pl
dc.subject.en computational complexity pl
dc.subject.en differential Galois theory pl
dc.subject.en computer algebra system pl
dc.description.volume 25 pl
dc.identifier.doi 10.4467/20838476SI.16.016.6197 pl
dc.identifier.eissn 2083-8476 pl
dc.title.journal Schedae Informaticae pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej pl
dc.subtype Article pl
dc.rights.original OTHER; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
dc.identifier.project ROD UJ / P pl
.pointsMNiSW [2016 B]: 11

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