A composite third order Newton-Steffensen method for solving nonlinear equations

Applied Mathematics and Computation

Volumn 169, Issue 1, 2005, Pages 242-246

  Sharma, J R ^a  

^a SANT LONGOWAL INSTITUTE OF ENGINEERING AND TECHNOLOGY   (India)

Author keywords

Newton's method; Nonlinear equations; Rootfinding; Steffensen's method

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS;

NEWTON-STEFFENSEN METHOD; ROOTFINDING;

NONLINEAR EQUATIONS;

EID: 27144516174     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.10.040     Document Type: Article

References (6)

1. S. Amat, S. Busquier, and J.M. Gutiérrez Geometric constructions of iteration functions to solve nonlinear equations J. Comput. Appl. Math. 157 2003 197 205
2. J.E. Dennis, and R.B. Schnable Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1983 Prentice-Hall Englewood Cliffs, NJ
3. P. Jarratt A Review of Methods for Solving Nonlinear Algebraic Equations 1970 Gordon and Breach, Science Publishers London
4. L.W. Johnson, and R.D. Riess Numerical Analysis 1977 Addison-Wesley Reading, MA
5. A.M. Ostrowski Solution of Equations in Euclidean and Banach Space third edition 1973 Academic Press New York
6. I.F. Steffensen Remarks on iteration Skand. Aktuarietidskr. 16 1933 64 72