J.M. Ortega, W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, Cambridge, 1970)
A.M. Ostrowski, Solutions of Equations and Systems of Equations (Academic Press, Cambridge, 1966)
H.T. Kung, J.F. Traub, Optimal order of one-point and multipoint iteration. J. Assoc. Comput. Math. 21, 643–51 (1974)
[+]
J.M. Ortega, W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, Cambridge, 1970)
A.M. Ostrowski, Solutions of Equations and Systems of Equations (Academic Press, Cambridge, 1966)
H.T. Kung, J.F. Traub, Optimal order of one-point and multipoint iteration. J. Assoc. Comput. Math. 21, 643–51 (1974)
F. Soleymani, T. Lotfi, P. Bakhtiari, A multi-step class of iterative methods for nonlinear systems. Optim. Lett. 8, 1001–1015 (2014)
A. Cordero, J.L. Hueso, E. Martínez, J.R. Torregrosa, A modified Newton–Jarratt’s composition. Numer. Algorithm 55, 87–99 (2010)
F.I. Chicharro, A. Cordero, J.R. Torregrosa, Dynamics of iterative families with memory based on weight functions procedure. J. Appl. Math. Comput. (2018). https://doi.org/10.1016/j.cam.2018.01.019
J.R. Sharma, H. Arora, Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations. Int. J. Comput. Math. 95, 920–938 (2018)
M.S. Petković, J.R. Sharma, On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations. Numer. Algorithm 71, 457–474 (2016)
C. Chun, B. Neta, How good are methods with memory for the solution of nonlinear equations? SeMA Journal 74, 613–625 (2017)
F. Soleymani, T. Lotfi, E. Tavakoli, F.K. Haghani, Several iterative methods with memory using self-accelerators. Appl. Math. Comput. 254, 452–458 (2015)
M.S. Petković, B. Neta, L.D. Petković, J. Džunić, Multipoint Methods for Solving Nonlinear Equations (Elsevier, New York, 2013)
S. Amat, S. Busquier, Advances in Iterative Methods for Nonlinear Equations (Springer, Berlin, 2016)
J.F. Traub, Iterative Methods for the Solution of Equations (Prentice-Hall, Upper Saddle River, 1964)
B. Campos, A. Cordero, J.R. Torregrosa, P. Vindel, A multidimensional dynamical approach to iterative methods with memory. Appl. Math. Comput. 271, 701–715 (2015)
B. Campos, A. Cordero, J.R. Torregrosa, P. Vindel, Stability of King’s family of iterative methods with memory. J. Comput. Appl. Math. 318, 504–514 (2017)
R.C. Robinson, An Introduction to Dynamical Systems: Continuous and Discrete (American Mathematical Society, Providence, 2012)
F.I. Chicharro, A. Cordero, J.R. Torregrosa, Drawing dynamical and parameters planes of iterative families and methods. Sci. World J. 780513, 1–11 (2013)
J.L. Varona, Graphic and numerical comparison between iterative methods. Math. Intell. 24, 37–46 (2002)
F.I. Chicharro, A. Cordero, J.R. Torregrosa, M.P. Vassileva, King-type derivative-free iterative families: real and memory dynamics. Complexity 2713145, 1–15 (2017)
Á.A. Magreñán, A new tool to study real dynamics: the convergence plane. Appl. Math. Comput. 248, 215–224 (2014)
S. Amat, S. Busquier, S. Plaza, Chaotic dynamics of a third-order Newton-type method. J. Math. Anal. Appl. 366, 24–32 (2010)
A. Cordero, J.R. Torregrosa, Variants of Newton’s method using fifth order quadrature formulas. Appl. Math. Comput. 190, 686–698 (2007)
M. Shacham, An improved memory method for the solution of a nonlinear equation. Chem. Eng. Sci. 44, 1495–1501 (1989)
I.K. Argyros, Á.A. Magreñán, L. Orcos, Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. J. Math. Chem. 54, 1404–1416 (2016)
C.F. Colebrook, C.M. White, Experiments with fluid friction in roughened pipes. Proc. R. Soc. Lond. 161, 367–381 (1937)
[-]