In the recent past, the problem of constructing bases for spaces of monogenic polynomials, in the framework of Clifford Analysis, has been considered by several authors, using different methods. In this talk we consider bases of 3D monogenic polynomials isomorphic to the complex powers, which are particularly easy to handle, from the computational point of view. Explicit constructions of such polynomial bases are performed and a numerical cost comparison with the well known Fueter polynomial basis is carried out.
On pseudo-complex bases for monogenic polynomials
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria
AIP Conference Proceedings ; 1493 , 1 ; 350-355
06.11.2012
6 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
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