Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Magreñán, Á. Alberto (1)
Tipo de Ítem:Articulo Revista Indexada
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.
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