Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/54576

TitleEvaluation schemes in the ring of quaternionic polynomials
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsError analysis
Polynomial evaluation
Quaternions
Issue date2018
PublisherSpringer
JournalBIT Numerical Mathematics
Abstract(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.
TypeArticle
URIhttp://hdl.handle.net/1822/54576
DOI10.1007/s10543-017-0667-8
ISSN0006-3835
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMA - Artigos (Papers)
NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica

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