REFERENCES
- J. M. Ortega and W. C. Rheinboldt , Iterative Solution of Nonlinear Equations in Several Variables , Classics in Applied Mathematics, SIAM , 2000 .
- Tjalling J. Ypma , Historical Development of the Newton-Raphson Method , SIAM Rev. , vol. 37 , pp. 531 – 551 , 1995 .
- G. Adomian and R. Rach , On the Solution of Algebraic Equations by the Decomposition Method , J. Math. Anal. Appl. , vol. 105 , pp. 141 – 166 , 1985 .
- S. Abbasbandy , Improving Newton-Raphson Method for Nonlinear Equations by Modified Adomian Decomposition Method , Appl. Math. Comput. , vol. 145 , pp. 887 – 893 , 2003 .
- S. Abbasbandy , Modified Homotopy Perturbation Method for Nonlinear Equations and Comparison with Adomian Decomposition Method , Appl. Math. and Comput. , vol. 172 , pp. 431 – 438 , 2006 .
- M. M. Hosseini , Adomian Decomposition Method for Solution of Nonlinear Differential Algebraic Equations , Appl. Math. Comput. , vol. 181 , pp. 1737 – 1744 , 2006 .
- M. Basto , V. Semiao , and F. L. Calheiros , A New Iterative Method to Compute Nonlinear Equations, Appl. Math. Comput. , vol. 173, pp. 468–483, 2006.
- C. Chun , A New Iterative Method for Solving Nonlinear Equations , Appl. Math. Comput. , vol. 178 , pp. 415 – 422 , 2006 .
- T. M. Wu , A New Formula of Solving Nonlinear Equations by Adomian and Homotopy Methods , Appl. Math. Comput. , vol. 172 , pp. 903 – 907 , 2006 .
- M. Pakdemirli and H. Boyaci , Generation of Root Finding Algorithms via Perturbation Theory and Some Formulas , Appl. Math. Comput. , vol. 184 , pp. 783 – 788 , 2007 .
- E. L. Allgower and K. Georg , Simplicial and Continuation Methods for Approximations, Fixed Points and Solutions to Systems of Equations , SIAM Rev. , vol. 22 , pp. 28 – 85 , 1980 .
- E. L. Allgower and S. Gnutzmann , An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces , SIAM J. Numer. Anal. , vol. 24 , pp. 452 – 469 , 1987 .
- www.mathworks.com.