Semilocal convergence of the secant method under mild convergence conditions of differentiability

Computers and Mathematics with Applications

Volumn 44, Issue 3-4, 2002, Pages 277-285

  Hernandez M A ^a   Rubio, M J ^a  

^a UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

Boundary value problems; Recurrence relations; The secant method

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; SET THEORY;

SECANT METHOD;

COMPUTATIONAL METHODS;

EID: 0036681220     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)00147-5     Document Type: Article

References (8)

1. On the method of chords
2. Regula-Falsi verfahren mit konsistenter steigung und majoranten prinzip
3. On the secant method
4. Toward a unified convergence theory for Newton-like methods
5. A unified convergence theory for a class of iterative processes
6. An application of the induction method of V. Pták to the study of regula falsi
7. Newton's method under mild differentiability conditions with error analysis