A new family of multipoint methods of second order

Numerical Functional Analysis and Optimization

Volumn 19, Issue 5-6, 1998, Pages 499-512

  Ezquerro, J A ^a   Hernandez M A ^a   Salanova, M A ^a  

^a UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

A priori error bounds; Convergence theorem; Multipoint iteration; Nonlinear equations in banach spaces; Recurrence relations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LINEAR EQUATIONS; MATHEMATICAL OPERATORS;

A PRIORI ERROR BOUNDS; BANACH SPACES; MIDPOINT METHOD; MULTIPOINT METHODS; RECURRENCE RELATIONS; SECOND ORDER;

NONLINEAR EQUATIONS;

EID: 0032119062     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569808816841     Document Type: Article

References (6)

1. I. K. Argyros and D. Chen, The Midpoint Method in Banach Spaces and Ptâk Error Estimates, Appl. Math. and Comput., 62 (1994) 1-15.
2. D. Chen and I. K. Argyros, The Midpoint Method for solving nonlinear operator equations in Banach Space, Appl. Math. Lett., 5,4 (1992) 7-9.
3. A. M. Ostrowski, Solution of equations in euclidean and banach spaces (Academic Press , New York, 1973).
4. F. A. Potra and V. Pták, Nondiscrete Induction and Iterative Processes (Pitman, New York, 1984).
5. L. B. Rall, Quadratic Equations in Banach Spaces. Rend. Circ. Mat., Palermo (2), 10 (1961) 314-332.
6. J. F. Traub, Iterative Methods for the Solution of Equations (Prentice Hall, Englewood Cliffs, N.J., 1964).