Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/4646
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dc.contributor.authorSerôdio, R.-
dc.contributor.authorPereira, E.-
dc.contributor.authorVitória, J.-
dc.date.accessioned2008-09-01T11:35:50Z-
dc.date.available2008-09-01T11:35:50Z-
dc.date.issued2001en_US
dc.identifier.citationComputers & Mathematics with Applications. 42:8-9 (2001) 1229-1237en_US
dc.identifier.urihttps://hdl.handle.net/10316/4646-
dc.description.abstractA method is developed to compute the zeros of a quaternion polynomial with all terms of the form qkXk. This method is based essentially in Niven's algorithm [1], which consists of dividing the polynomial by a characteristic polynomial associated to a zero. The information about the trace and the norm of the zero is obtained by an original idea which requires the companion matrix associated to the polynomial. The companion matrix is represented by a matrix with complex entries. Three numerical examples using Mathematica 2.2 version are given.en_US
dc.description.urihttp://www.sciencedirect.com/science/article/B6TYJ-444G6J6-N/1/2ab1f648c1929ffc5374c2a8b11c2a77en_US
dc.format.mimetypeaplication/PDFen
dc.language.isoengeng
dc.rightsopenAccesseng
dc.subjectRight (and left) quaternionic eigenvaluesen_US
dc.subjectQuaternionic polynomialsen_US
dc.subjectCompanion quaternionic matrixen_US
dc.titleComputing the zeros of quaternion polynomialsen_US
dc.typearticleen_US
dc.identifier.doi10.1016/S0898-1221(01)00235-8-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypearticle-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextCom Texto completo-
item.languageiso639-1en-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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