Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/51931

TítuloWeierstrass method for quaternionic polynomial root-finding
Autor(es)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
Palavras-chaveQuaternionic polynomials
Root-finding methods
Weierstrass algorithm
Data2018
EditoraWiley
RevistaMathematical Methods in the Applied Sciences
Resumo(s)Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas that motivated the design of efficient methods for numerically approximating the zeros of quaternionic polynomials. In fact, one can find in the literature recent contributions to this subject based on the use of complex techniques, but numerical methods relying on quaternion arithmetic remain scarce. In this paper, we propose a Weierstrass-like method for finding simultaneously all the zeros of unilateral quaternionic polynomials. The convergence analysis and several numerical examples illustrating the performance of the method are also presented.
Tipoarticle
URIhttp://hdl.handle.net/1822/51931
DOI10.1002/mma.4623
ISSN0170-4214
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

Ficheiros deste registo:
Ficheiro Descrição TamanhoFormato 
FalcaoMirandaSeverinoSoares2018.pdf432,63 kBAdobe PDFVer/Abrir

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu Currículo DeGóis