Some variant of Newton's method with third-order convergence

Applied Mathematics and Computation

Volumn 140, Issue 2-3, 2003, Pages 419-426

  Frontini, M ^a   Sormani, E ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Function evaluations; Newton's formula; Third order convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTION EVALUATION; ITERATIVE METHODS;

THIRD-ORDER CONVERGENCE;

NONLINEAR EQUATIONS;

EID: 0037431566     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00238-2     Document Type: Article

References (3)

1. Dennis J.E., Schnable R.B. Numerical Methods for Unconstrained Optimization and Nonlinear Equation. 1983;Prentice-Hall, New York.
2. Gautschi W. Numerical Analysis: an Introduction. 1997;Birkhäuser.
3. Weerakoom S., Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13:2000;87-93.