References
- [1] S. Amat, M.A. Hernández, and N. Romero, Semilocal convergence of a sixth order iterative method for quadratic equations, Appl. Numer. Math., 62, (2012), 833–841.
- [2] I.K. Argyros and Á.A. Magreñán, Iterative Algorithms I, Nova Science Publishers Inc., New York, 2016.
- [3] I.K. Argyros and Á.A. Magreñán, Iterative methods and their dynamics with applications, CRC Press, New York, 2017.
- [4] I.K. Argyros and Á.A. Magreñán, Iterative Algorithms II, Nova Science Publishers Inc., New York, 2017.
- [5] J. Chen and W. Li, Convergence of Gauss-Newton’s method and uniqueness of the solution, Appl. Math. Comput., 170, (2005), 687–705.
- [6] W. M. Haübler, A Kantorovich convergence analysis for the Gauss-Newton method, Numer. Math., 48, (1986), 119–125.
- [7] Á.A. Magreñán, Different anomalies in a Jarratt family of iterative root finding methods, Appl. Math. Comput., 233, (2014), 29–38.
- [8] Á.A. Magreñán, A new tool to study real dynamics:, Appl. Math. Comput., 248, (2014), 29–38.
- [9] J.M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, Academic Press, New York, 1970.
- [10] J.F. Potra, On an iterative algorithm of order 1.839 ...for solving nonlinear operator equations, Numer. Func. Anal. Opt., 7(1), (1985), 75–106.
- [11] S.M. Shankhno and O.P. Gnatyshyn, On an iterative algorithm of order 1.839 ...for solving the nonlinear least squares problems, Appl. Math. Comput., 161, (2005), 253–264.
- [12] R. Ewing, K. Gross, and C. Martin, Newton’s method estimates from data at one point, in:The merging of disciplines: New directions in Pure Applied and Computational Mathematics, Springer, New York, 1986.
- [13] G. W. Stewart, On the continuity of the generalized inverse, SIAM J. Math., 17, (1960), 33–45.
- [14] J.F. Traub and H. Wozniakowski, Convergence and complexity of Newton iteration, J. Assoc. Comput. Math., 29, (1979), 250–258.10.1145/322123.322130