Modified Newton's method with third-order convergence and multiple roots

Journal of Computational and Applied Mathematics

Volumn 156, Issue 2, 2003, Pages 345-354

  Frontini, M ^a   Sormani, E ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Function evaluations; Multiple roots; Newton's formula; Third order convergence

Indexed keywords

ITERATIVE METHODS; MATHEMATICAL MODELS;

THIRD-ORDER CONVERGENCE;

CONVERGENCE OF NUMERICAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0041840554     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00920-2     Document Type: Article

References (4)

1. Dennis J.E. Schnable R.B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1983 Prentice-Hall Englewood Cliffs, NJ
2. Frontini M. Sormani E. Some variants of Newton's method with third-order convergence Appl. Math. Comput. 140 2003 419-426
3. Gautschi W. Numerical Analysis An Introduction 1997 Birkhäuser Basel
4. Weerakoom S. Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence Appl. Math. Lett. 13 2000 87-93