Articulo Revista Indexada
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Autor
Amat, Sergio
Busquier, Sonia
Bermúdez, Concepción
Magreñán, Á. Alberto (1)
Institución
Resumen
This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Frechet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method using only divided differences is also presented.