Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/45981

TitleQuaternionic polynomials with multiple zeros: A numerical point of view
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsQuaternionic polynomials
Zeros
Multiplicity
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
URIhttp://hdl.handle.net/1822/45981
ISBN9780735414648
DOI10.1063/1.4972691
ISSN0094-243X
Publisher versionhttp://aip.scitation.org/doi/pdf/10.1063/1.4972691
Peer-Reviewedyes
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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