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Sociedad Colombiana de Matemáticas:Publicaciones

Revista Colombiana de Matemáticas

Volumen 35 [1] (2001)Páginas 21-27

Convergence analysis of a one-step intermediate Newton iterative scheme

Livinus U Uko

Raúl Eduardo Velásquez Ossa
Universidad de Antioquia, Medellín, COLOMBIA

Abstract. We study a one-step intermediate method for the iterative computation of a zero of the sum of two nonlinear operators. The proposed method contains Newton scheme and the Modified Newton scheme as special cases and therefore provides a unified setting for the study of both methods.

Palabras claves. Nonlinear equations, Newton's method, intermediate Newton method, majorant error bounds.

Codigo AMS. 1991 Primary 65H10.

Archivo completo : Formato [PDF] (473 K).