caa a22 4500 465751660 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02238803 doi (NATIONALLICENCE)springer-10.1007/BF02238803 Recurrence relations for rational cubic methods II: The Chebyshev method [Elektronische Daten] [V. Candela, A. Marquina] Rekursions-Beziehungen für rationale kubische Verfahren II: Die Chebyshev Methode We continue the analysis of rational cubic methods, initiated in [7]. In this paper, we obtain a system of a priori error bounds for the Chebyshev method in Banach spaces through a local convergence theorem that provides sufficient conditions on the initial point in order to ensure the convergence of Chebyshev iterates. The error estimates are exact for second degree polynomials. We also discuss some applications. Springer-Verlag, 1990 Third order iterative methods nationallicence a priori error bounds nationallicence non-linear equations nationallicence Candela V. Departamento de Análisis Matemático, C/Dr. Moliner, 50, 46100, Burjassot, Valencia, Spain aut Marquina A. Departamento de Análisis Matemático, C/Dr. Moliner, 50, 46100, Burjassot, Valencia, Spain aut Computing Springer-Verlag 45/4(1990-12-01), 355-367 0010-485X 45:4<355 1990 45 607 https://doi.org/10.1007/BF02238803 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02238803 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Candela V. Departamento de Análisis Matemático, C/Dr. Moliner, 50, 46100, Burjassot, Valencia, Spain aut NATIONALLICENCE 700 1- Marquina A. Departamento de Análisis Matemático, C/Dr. Moliner, 50, 46100, Burjassot, Valencia, Spain aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/4(1990-12-01), 355-367 0010-485X 45:4<355 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 465751458 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer