Jm. Gutierrez et Ma. Hernandez, RECURRENCE RELATIONS FOR THE SUPER-HALLEY METHOD, Computers & mathematics with applications (1987), 36(7), 1998, pp. 1-8
In this paper we give sufficient conditions in order to assure the con
vergence of the super-Bailey method in Banach spaces. We use a system
of recurrence relations analogous to those given in the classical Newt
on-Kantorovich theorem, or those given for Chebyshev and Halley method
s by different authors. (C) 1998 Elsevier Science Ltd. All rights rese
rved.