Note on the improvement of Newton's method for system of nonlinear equations

Applied Mathematics and Computation

Volumn 189, Issue 2, 2007, Pages 1476-1479

  Wu, Xinyuan ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

Iterative method; Local convergence; Newton like methods; System of nonlinear equations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NEWTON-RAPHSON METHOD; NONLINEAR SYSTEMS;

LOCAL CONVERGENCE; NEWTON-LIKE METHODS; SYSTEM OF NONLINEAR EQUATIONS;

NONLINEAR EQUATIONS;

EID: 34249002815     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.12.035     Document Type: Article

References (6)

1. Wu X. A new continuation Newton-like method and its deformation. Appl. Math. Comput. 112 (2000) 75-78
2. Wu X., and Wu H. On a class of quadratic convergence iteration formulae without derivatives. Appl. Math. Comput. 107 (2000) 77-80
3. Wu X., and Fu D. New high order iteration methods without employing derivatives for solving nonlinear equations. Comput. Math. Appl. 41 (2001) 489-495
4. Wu X. A significant improvement on Newton's iterative method. Appl. Math. Mech.-Engl. 20 8 (1999) 924-927
5. J. Kou, Y. Li, X. Wang, Efficient continuation Newton-like method for solving system of nonlinear equations 174 (2006) 846-853.
6. Ortega J.M., and Rheinboldt W.C. Iterative Solution of Nonlinear Equations in Several Variables (1970), Academic Press, New York and London