A Uniparametric Halley-Type Iteration with Free Second Derivative.
ISSN: 0972-9828
Año de publicación: 2003
Volumen: 6
Páginas: 103-114
Tipo: Artículo
Otras publicaciones en: International Journal of Pure and Applied Mathematical Sciences (IJPAMS)
Resumen
A multipoint iterative method is derived, for solving nonlinear equations in Banach spaces, which depends linearly on a real parameter. With the choice of 0.5 for this parameter, the method is reduced to the well-known mid-point method. Under appropriate conditions, the method shows a semilocal cubic convergence, independent of the value of the parameter. Two numerical examples are presented