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https://hdl.handle.net/1822/29696
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Campo DC | Valor | Idioma |
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dc.contributor.author | Cruz, Carla | - |
dc.contributor.author | Falcão, M. I. | - |
dc.contributor.author | Malonek, H. R. | - |
dc.date.accessioned | 2014-07-18T13:32:18Z | - |
dc.date.available | 2014-07-18T13:32:18Z | - |
dc.date.issued | 2014 | - |
dc.identifier.isbn | 978-3-319-09143-3 | - |
dc.identifier.issn | 0302-9743 | por |
dc.identifier.uri | https://hdl.handle.net/1822/29696 | - |
dc.description.abstract | In 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.sponsorship | This 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.iso | eng | por |
dc.publisher | Springer International Publishing AG | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/135976/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/135888/PT | - |
dc.rights | openAccess | por |
dc.subject | Pseudo-complex powers | por |
dc.subject | Monogenic polynomials | por |
dc.subject | Vandermonde matrix | por |
dc.subject | monogenic polynomails | por |
dc.title | On numerical aspects of pseudo-complex powers in R^3 | por |
dc.type | conferencePaper | - |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-319-09144-0_1 | por |
sdum.publicationstatus | published | por |
oaire.citationConferenceDate | 30 jun. - 03 jul. 2014 | por |
sdum.event.type | congress | por |
oaire.citationStartPage | 1 | por |
oaire.citationEndPage | 16 | por |
oaire.citationIssue | PART 1 | por |
oaire.citationConferencePlace | Guimarães, Portugal | por |
oaire.citationTitle | Computational science and its applications, ICCSA 2014 | por |
oaire.citationVolume | 8579 | - |
dc.identifier.doi | 10.1007/978-3-319-09144-0_1 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Lecture Notes in Computer Science | por |
sdum.conferencePublication | COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2014, PT 1 | por |
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Ficheiro | Descrição | Tamanho | Formato | |
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Falcao2014cRepositorio.pdf | Documento principal | 2,42 MB | Adobe PDF | Ver/Abrir |