Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/86298
Título: | A Two-step Quaternionic Root-finding Method |
Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
Palavras-chave: | Quaternions Weierstrass method Zeros |
Data: | Jun-2023 |
Editora: | Springer |
Revista: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
Resumo(s): | In this paper we present a new method for determining simultaneously all the simple roots of a quaternionic polynomial. The proposed algorithm is a two-step iterative Weierstrass-like method and has cubic order of convergence. We also illustrate a variation of the method which combines the new scheme with a recently proposed deflation procedure for the case of polynomials with spherical roots. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/86298 |
ISBN: | 978-3-031-37104-2 |
e-ISBN: | 978-3-031-37105-9 |
DOI: | 10.1007/978-3-031-37105-9_47 |
ISSN: | 0302-9743 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FalcaoMirandaSeverinoSoares2023_1.pdf | 437,36 kB | Adobe PDF | Ver/Abrir |