Third-order iterative methods without using any Fréchet derivative

Journal of Computational and Applied Mathematics

Volumn 158, Issue 1, 2003, Pages 11-18

  Amat, Sergio ^a   Busquier, Sonia ^a   Candela, Vicente ^b  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; THEOREM PROVING;

APPLIED MATHEMATICS;

ITERATIVE METHODS;

MATHEMATICAL METHOD;

EID: 0042284881     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00460-6     Document Type: Article

References (9)

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3. Candela V.F. Marquina A. Recurrence relations for rational cubic methods II: the Chebyshev method Computing 45 1990 355-367
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5. Gutiérrez J.M. Hernández M.A. Third-order methods for operators with bounded second derivative J. Comput. Appl. Math. 82 1997 171-183
6. Lambert J.D. Computational Methods for Ordinary Differential Equations 1976 Wiley New York
7. Ortega J.M. Rheinboldt W.C. Iterative solution of nonlinear equations in several variables 1970 Academic Press New York
8. Potra F.A. Pták V. Nondiscrete Induction and Iterative Processes Research Notes in Mathematics Vol. 103 1984 Pitman Boston
9. Werner W. Newton-like methods for the computation of fixed points Comput. Math. Appl. 10 1 1984 77-86