Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/59326

TitleOn the roots of coquaternions
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsCoquaternions
Roots
Polar form
Similarity class and quasi-similarity class of a coquaternion
Matrix equations
Issue date1-Nov-2018
PublisherSpringer
JournalAdvances in Applied Clifford Algebras
Abstract(s)In this paper we give a complete characterization of the nth roots of a coquaternion q. In particular, we show that the number and type of roots-isolated and/or hyperboloidal-depend on the nature of q, on the parity of n and (eventually) on the sign of the real part of q. We also show how the coquaternionic formalism can be used to obtain, in a simple manner, explicit expressions for the real nth roots of any 2 x 2 real matrix.
TypeArticle
URIhttp://hdl.handle.net/1822/59326
DOI10.1007/s00006-018-0914-3
ISSN0188-7009
e-ISSN1661-4909
Publisher versionhttps://link.springer.com/article/10.1007%2Fs00006-018-0914-3
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

Files in This Item:
File Description SizeFormat 
FalcaoMirandaSeverinoSoaresACCA2018.pdf486,29 kBAdobe PDFView/Open

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 ORCID