References
- S. Abbasbandy, Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method, Appl. Math. Comput. 170 (2005) 648-656. https://doi.org/10.1016/j.amc.2004.12.048
- D. K. R. Babajee and M. Z. Dauhoo, Analysis of the properties of the variants of Newton's method with third order convergence, Appl. Math. Comput. 183 (2006) 659-684. https://doi.org/10.1016/j.amc.2006.05.116
- D. K. R. Babajee, M. Z. Dauhoo, M. T. Darvishi and A. Barati, A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule, Appl. Math. Comput. 200 (2008) 452-458. https://doi.org/10.1016/j.amc.2007.11.009
- E. Babolian, J. Biazar and A.R. Vahidi, Solution of a system of nonlinear equations by Adomian decomposition method, Appl. Math. Comput. 150 (2004) 847-854. https://doi.org/10.1016/S0096-3003(03)00313-8
- R. L. Burden and J. D. Faires, Numerical Analysis, 7th ed., PWS Publishing Company, Boston, 2001.
- A. Cordero and J. R. Torregrosa, Variants of Newton's method for functions of several variables, Appl. Math. Comput. 183 (2006) 199-208. https://doi.org/10.1016/j.amc.2006.05.062
- A. Cordero and J. R. Torregrosa, Variants of Newton's method using fifth-order quadrature formulas, Appl. Math. Comput. 190 (2007) 686-698. https://doi.org/10.1016/j.amc.2007.01.062
- M. T. Darvishi and A. Barati, A third-order Newton-type method to solve systems of nonlinear equations, Appl. Math. Comput. 187 (2007) 630-635. https://doi.org/10.1016/j.amc.2006.08.080
- M. T. Darvishi and A. Barati, A forth-order method from quadrature formulas to solve systems of nonlinear equations, Appl. Math. Comput. 188 (2007) 257-261. https://doi.org/10.1016/j.amc.2006.09.115
- M. T. Darvishi and A. Barati, Super cubic iterative methods to solve systems of nonlinear equations, Appl. Math. Comput. 188 (2007) 1678-1685. https://doi.org/10.1016/j.amc.2006.11.022
- F. Freudensten and B. Roth, Numerical solution of systems of nonlinear equations, J. ACM 10 (1963) 550-556. https://doi.org/10.1145/321186.321200
- M. Frontini and E. Sormani, Third-order methods from quadrature formulas for solving systems of nonlinear equations, Appl. Math. Comput. 149 (2004) 771-782. https://doi.org/10.1016/S0096-3003(03)00178-4
- A. Golbabai and M. Javidi, A new family of iterative methods for solving system of nonlinear algebraic equations, Appl. Math. Comput. 190 (2007) 1717-1722. https://doi.org/10.1016/j.amc.2007.02.055
- H. H. H. Homeier, A modified Newton method with cubic convergence: the multivariate case, J. Comput. Appl. Math. 169 (2004) 161-169. https://doi.org/10.1016/j.cam.2003.12.041
- W. Haijun, New third-order method for solving systems of nonlinear equations, J. Numer. Algor. DOI 10.1007/s11075-008-9227-2.
- J. Kou, A third-order modification of Newton method for systems of non-linear equations, Appl. Math. Comput. 191 (2007) 117-121. https://doi.org/10.1016/j.amc.2007.02.030
- M. Aslam Noor, Numerical Analysis and Optimization, Lecture Notes, Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan, 2007/2008.
- M. Aslam Noor and M. Waseem, Some iterative methods for solving a system of nonlinear equations, Preprint, 2008.
- J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, 1970.
- M. G. Sanchez, J. M. Peris and J. M. Gutierrez, Accelerated iterative methods for finding solutions of a system of nonlinear equations, Appl. Math. Comput. 190 (2007) 1815-1823. https://doi.org/10.1016/j.amc.2007.02.068
- R. S. Varga, Matrix Iterative Analysis, Springer, Berlin, 2000.
- S. Weerakoon and T. G. I. Fernando, A variant of Newton's method with accelerated thirdorder convergence, Appl. Math. Lett. 13 (2000) 87-93.