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TitleQuaternionic polynomials with multiple zeros: A numerical point of view
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsQuaternionic polynomials
Issue dateJul-2017
PublisherAIP Publishing
JournalAIP Conference Proceedings
Abstract(s)In the ring of quaternionic polynomials there is no easy solution to the problem of finding a suitable definition of multiplicity of a zero. In this paper we discuss different notions of multiple zeros available in the literature and add a computational point of view to this problem, by taking into account the behavior of the well known Newton's method in the presence of such roots.
TypeConference paper
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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