The convergence on a family of iterations with cubic order

Journal of Computational Mathematics

Volumn 19, Issue 5, 2001, Pages 467-474

  Han, D F ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

condition; Convergence; Error estimate; Majorizing method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTIONS; MATHEMATICAL OPERATORS; POLYNOMIALS; THEOREM PROVING;

CONVERGENT THEOREMS;

ITERATIVE METHODS;

EID: 0035447146     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. On the convergence of Halley's method
2. Concerning the method of tangent hyperbolas for operator equations
3. Optimal-order parameter identification in solving nonlinear systems in a Banach space
4. A note on the Halley method in Banach spaces
5. Recurrence relations for rational cubic method II: The Chebyshev method
6. A family of Chebyshev-Halley type method
7. A family of Chebchev-Halley type methods in Banach space
8. On Newton's method (Russian)
9. Convergence of the iteration of Halley's family in weak condition
10. Convergence on Euler series, the iterations of Euler and Halley families
11. On the method of tangent hyperbolas in Banach spaces