Some one-parameter families of third-order methods for solving nonlinear equations

Applied Mathematics and Computation

Volumn 195, Issue 2, 2008, Pages 392-396

  Jiang, Dongdong ^a   Han, Danfu ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Iterative family; Nonlinear equations; One parameter

Indexed keywords

BANACH SPACES; ERROR ANALYSIS; ITERATIVE METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING;

HALLEY METHODS; ITERATIVE PROCESS; ONE POINT APPROXIMATION; QUADRATIC EQUATION;

NONLINEAR EQUATIONS;

EID: 37349077173     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.100     Document Type: Article

References (5)

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2. Sharma J.R. A family of third-order methods to solve nonlinear equations by quadratic curves approximation. Appl. Math. Comput. 184 (2007) 210-215
3. Traub J.F. Iterative Methods for Solution of Equations (1964), Prentice-Hall, Englewood Cliffs, NJ
4. Halley E. A new, exact and easy method of finding the roots of equations generally, and that without any previous reduction. Phil. Roy. Soc. London 18 (1964) 136-145
5. Gutiérrez J.M., and Hernández M.A. An acceleration of Newton's method: Super-Halley method. Appl. Math. Comput. 117 (2001) 223-239