Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/65607
Título: | The number of zeros of unilateral polynomials over coquaternions revisited |
Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
Palavras-chave: | Coquaternions coquaternionic polynomials companion polynomial admissible classes 12E05 15A66 65H04 |
Data: | 3-Jun-2019 |
Editora: | Taylor & Francis Ltd |
Revista: | Linear & Multilinear Algebra |
Resumo(s): | The literature on quaternionic polynomials and, in particular, on methods for finding and classifying their zero sets, is fast developing and reveals a growing interest in this subject. In contrast, polynomials defined over the algebra of coquaternions have received very little attention from researchers. One of the few exceptions is the very recent paper by Janovska and Opfer [Electron Trans Numer Anal. 2017;46:55-70], where, among other results, we can find a first attempt to prove that a unilateral coquaternionic polynomial of degree n has, at most, zeros. In this paper we present a full proof of this result, using a totally different and, from our point of view, much simpler approach. Also, we give a complete characterization of the zero sets of such polynomials and present a new result giving conditions which guarantee the existence of a special type of zeros. An algorithm to compute and classify all the zeros of a coquaternionic polynomial is proposed and several numerical examples are carefully constructed. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/65607 |
DOI: | 10.1080/03081087.2018.1450828 |
ISSN: | 0308-1087 |
Versão da editora: | https://www.tandfonline.com/doi/full/10.1080/03081087.2018.1450828 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FalcaoMirandaSeverinoSoaresLAMA2019.pdf | 509,56 kB | Adobe PDF | Ver/Abrir |