Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/54576
Título: | Evaluation schemes in the ring of quaternionic polynomials |
Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
Palavras-chave: | Error analysis Polynomial evaluation Quaternions |
Data: | 2018 |
Editora: | Springer |
Revista: | BIT Numerical Mathematics |
Resumo(s): | In this paper we focus on computational aspects associated with polynomial problems in the ring of one-sided quaternionic polynomials. The complexity and error bounds of quaternion arithmetic are considered and several evaluation schemes are analyzed from their complexity point of view. The numerical stability of generalized Horner’s and Goertzel’s algorithms to evaluate polynomials with quaternion floating-point coefficients is addressed. Numerical tests illustrate the behavior of the algorithms from the point of view of performance and accuracy. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/54576 |
DOI: | 10.1007/s10543-017-0667-8 |
ISSN: | 0006-3835 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMA - Artigos (Papers) NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FalcaoMirandaSeverinoSoares2018-2.pdf | 452,74 kB | Adobe PDF | Ver/Abrir |