A method for solving nonlinear equations

Applied Mathematics and Computation

Volumn 174, Issue 2, 2006, Pages 1416-1426

  Ujević, Nenad ^a  

^a UNIVERSITY OF SPLIT   (Croatia)

Author keywords

Convergence; Method; Nonlinear equations; Numerical examples; Quadrature rules

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS;

METHOD; NUMERICAL EXAMPLES; QUADRATURE RULES;

NONLINEAR EQUATIONS;

EID: 33644608875     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.05.036     Document Type: Article

References (15)

1. S. Abbasbandy Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method Appl. Math. Comput. 145 2003 887 893
2. S. Amat, S. Busquier, and J.M. Gutierrez Geometric constructions of iterative functions to solve nonlinear equations J. Comput. Appl. Math. 157 2003 197 205
3. E. Babolian, and J. Biazar Solution of nonlinear equations by adomian decomposition method Appl. Math. Comput. 132 2002 167 172
4. A. Ben-Israel Newton's method with modified functions Contemporary Math. 204 1997 39 50
5. X.L. Cheng Improvement of some Ostrowski-Grüss type inequalities Comput. Math. Appl. 42 2001 109 114
6. F. Costabile, M.I. Gualtieri, and S.S. Capizzano An iterative method for the solutions of nonlinear equations Calcolo 30 1999 17 34
7. S.S. Dragomir, P. Cerone, and J. Roumeliotis A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means Appl. Math. Lett. 13 2000 19 25
8. M. Frontini Hermite interpolation and a new iterative method for the computation of the roots of non-linear equations Calcolo 40 2003 109 119
9. M. Frontini, and E. Sormani Third-order methods from quadrature formulae for solving systems of nonlinear equations Appl. Math. Comput. 149 2004 771 782
10. Mamta, V. Kanwar, V.K. Kukreja, Sukhjit Singh, On some third-order methods for solving nonlinear equations, Appl. Math. Comput., in press.
11. N. Ujević An optimal quadrature formula of open type Yokohama Math. J. 50 2003 59 70
12. N. Ujević New bounds for the first inequality of Ostrowski-Gruss type and applications Comput. Math. Appl. 46 2003 421 427
13. N. Ujević, An iterative method for solving nonlinear equations, submitted for publication.
14. S. Weerakoon, and T.G. Fernando A variant of Newton's method with accelerated third-order convergence Appl. Math. Lett. 13 2000 87 93
15. T. Yamamoto Historical development in convergence analysis for Newton's and Newton-like methods J. Comput. Appl. Math. 124 2000 1 23