Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/29696

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Campo DCValorIdioma
dc.contributor.authorCruz, Carla-
dc.contributor.authorFalcão, M. I.-
dc.contributor.authorMalonek, H. R.-
dc.date.accessioned2014-07-18T13:32:18Z-
dc.date.available2014-07-18T13:32:18Z-
dc.date.issued2014-
dc.identifier.isbn978-3-319-09143-3-
dc.identifier.issn0302-9743por
dc.identifier.urihttps://hdl.handle.net/1822/29696-
dc.description.abstractIn this paper we consider a particularly important case of 3D monogenic polynomials that are isomorphic to the integer powers of one complex variable (called pseudo-complex powers or pseudo-complex polynomials, PCP). The construction of bases for spaces of monogenic polynomials in the framework of Clifford Analysis has been discussed by several authors and from different points of view. Here our main concern are numerical aspects of the implementation of PCP as bases of monogenic polynomials of homogeneous degree k. The representation of the well known Fueter polynomial basis by a particular PCP-basis is subject to a detailed analysis for showing the numerical effciency of the use of PCP. In this context a modiffcation of the Eisinberg-Fedele algorithm for inverting a Vandermonde matrix is presented.por
dc.description.sponsorshipThis work was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, the Research Centre of Mathematics of the University of Minho and the Portuguese Foundation for Science and Technology ("FCT - Fundacao para a Ciencia e a Tecnologia"), within projects PEst-OE/MAT/UI4106/2014 and PEstOE/MAT/UI0013/2014.por
dc.language.isoengpor
dc.publisherSpringer International Publishing AGpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/135976/PT-
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/135888/PT-
dc.rightsopenAccesspor
dc.subjectPseudo-complex powerspor
dc.subjectMonogenic polynomialspor
dc.subjectVandermonde matrixpor
dc.subjectmonogenic polynomailspor
dc.titleOn numerical aspects of pseudo-complex powers in R^3por
dc.typeconferencePaper-
dc.peerreviewedyespor
dc.relation.publisherversionhttp://link.springer.com/chapter/10.1007/978-3-319-09144-0_1por
sdum.publicationstatuspublishedpor
oaire.citationConferenceDate30 jun. - 03 jul. 2014por
sdum.event.typecongresspor
oaire.citationStartPage1por
oaire.citationEndPage16por
oaire.citationIssuePART 1por
oaire.citationConferencePlaceGuimarães, Portugalpor
oaire.citationTitleComputational science and its applications, ICCSA 2014por
oaire.citationVolume8579-
dc.identifier.doi10.1007/978-3-319-09144-0_1por
dc.subject.wosScience & Technologypor
sdum.journalLecture Notes in Computer Sciencepor
sdum.conferencePublicationCOMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2014, PT 1por
Aparece nas coleções:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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