Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/51931

TítuloWeierstrass method for quaternionic polynomial root-finding
Autor(es)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
Palavras-chaveQuaternionic polynomials
Root-finding methods
Weierstrass algorithm
RevistaMathematical Methods in the Applied Sciences
Resumo(s)Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas that motivated the design of efficient methods for numerically approximating the zeros of quaternionic polynomials. In fact, one can find in the literature recent contributions to this subject based on the use of complex techniques, but numerical methods relying on quaternion arithmetic remain scarce. In this paper, we propose a Weierstrass-like method for finding simultaneously all the zeros of unilateral quaternionic polynomials. The convergence analysis and several numerical examples illustrating the performance of the method are also presented.
Arbitragem científicayes
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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