Newton method in the context of quaternion analysis

In this paper we propose a version of Newton method for finding zeros of a quaternion function of a quaternion variable, based on the concept of quaternion radial derivative. Several numerical examples involving elementary functions are presented.

Detalhes bibliográficos
Autor principal: Falcão, M. I. (author)
Formato: article
Idioma:eng
Publicado em: 2014
Assuntos:
Texto completo:http://hdl.handle.net/1822/29288
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/29288
Descrição
Resumo:In this paper we propose a version of Newton method for finding zeros of a quaternion function of a quaternion variable, based on the concept of quaternion radial derivative. Several numerical examples involving elementary functions are presented.