On the local convergence of the Modified Newton method

[1] E. Catinas, Estimating the radius of an attraction ball, Applied Mathematics Letters, 22, (2009), 712-71410.1016/j.aml.2008.08.007Search in Google Scholar

[2] J. A. Ezquerro and M. A. Hernández, An optimization of Chebyshev’s method, Journal of Complexity, 25, (2009), 343-36110.1016/j.jco.2009.04.001Search in Google Scholar

[3] M. A. Hernández-Veron and N. Romero, On the Local Convergence of a Third Order Family of Iterative Processes, Algorithms, 8, (2015), 1121-112810.3390/a8041121Search in Google Scholar

[4] St. Maruster, Estimating local radius of convergence, Symposium “Symbolic and Numeric Algorithm for Scientific Computation” (SYNASC), Workshop Iteratime Approximation of Fixed Points, 24-27 Sept. (2016) West University of Timisoara, Timisoara, RomaniaSearch in Google Scholar

[5] J. M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equation in several variables, Acad. Press, New York, 1970Search in Google Scholar

[6] F. A. Potra and V. Ptak, Pitman, London, 1984Search in Google Scholar

[7] F. Soleymani, Optimal eighth-order simple root-finders free from derivative, WSEAS Transactions on Information Science and Applications, 8 No. 8, (2011), 293-299Search in Google Scholar

[8] R. Thukral, New modification of Newton with third order of convergence for solving nonlinear equation of type f (0) = 0, Amer. J. Comput. Appl. Math., 6 No.1, (2016), 14-18Search in Google Scholar

[9] J. F. Traub, Iterative methods for the solution of equations, Chelsea Publishing Company, New York, 1982Search in Google Scholar