Detalhes bibliográficos
| Resumo: | 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. |
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| Autores principais: | Cruz, Carla |
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| Outros Autores: | Falcão, M. I.; Malonek, H. R. |
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| Assunto: | Pseudo-complex powers Monogenic polynomials Vandermonde matrix monogenic polynomails |
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| Ano: | 2014 |
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| País: | Portugal |
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| Tipo de documento: | comunicação em conferência |
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| Tipo de acesso: | acesso aberto |
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| Instituição associada: | Universidade do Minho |
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| Idioma: | inglês |
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| Origem: | RepositóriUM - Universidade do Minho |
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