A weighted variant family of Newton's method with accelerated third-order convergence

Applied Mathematics and Computation

Volumn 186, Issue 2, 2007, Pages 1005-1009

  Grau Sánchez, Miquel ^a   Díaz Barrero, José Luis ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Efficiency; Iterative methods; Newton's formula; Nonlinear equations; Order of convergence

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; PROBLEM SOLVING;

NEWTON'S FORMULA; ORDER OF CONVERGENCE; SYMBOLIC COMPUTATIONS; THIRD ORDER CONVERGENCE;

CONVERGENCE OF NUMERICAL METHODS;

EID: 33947697942     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.041     Document Type: Article

References (4)

1. Traub J.F. Iterative Methods for the Solution of Equations (1964), Prentice-Hall, Englewood Cliffs, New Jersey
2. Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Applied Mathematics Letters 13 8 (2000) 87-93
3. Grau M., and Noguera M. A variant of Cauchy's method with accelerated fifth-order convergence. Applied Mathematics Letters 17 (2004) 509-517
4. Hummel P.M., and Seebeck C.L. A generalization of Taylor's expansion. American Mathematical Monthly 56 (1949) 243-247