The Secant method and divided differences Hölder continuous

Applied Mathematics and Computation

Volumn 124, Issue 2, 2001, Pages 139-149

  Hernandez M A ^a   Rubio, M J ^a  

^a UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

A priori error bounds; Boundary value problems; Recurrence relations; The secant method

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS;

A PRIORI ERROR BOUNDS; RECURRENCE RELATIONS; THE SECANT METHOD;

NONLINEAR EQUATIONS;

EID: 23644439428     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00079-5     Document Type: Article

References (6)

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3. M.A. Hernández, Reduced recurrence relations for the Chebyshev method, J. Optim. Theory Appl. 2 (1998) 385-397.
4. F.A. Potra, V. Ptak, Nondiscrete induction and iterative processes, Pitman, London, 1984.
5. W.C. Rheinboldt, A unified convergence theory for a class of iterative processes, SIAM J. Numer. Anal. 5 (1) (1968) 42-63.
6. J. Rokne, Newton's method under mild differentiability conditions with error analysis, Numer. Math. 18 (1972) 401-412.