To the question of efficiency of iterative methods

Traub, 1964 Halley, 1964, A new exact and easy method for finding the roots of equations generally and without any previous reduction, Phil. Roy. Soc. London, 18, 136, 10.1098/rstl.1694.0029 Schröder, 1870, Uber unendlich viele Algorithmen zur Auflösung, Math. Ann., 1870, 317, 10.1007/BF01444024 Wall, 1956, Fourth-order iterative method free from second derivative for solving nonlinear equations, Math. Comp., 10, 167 Amat, 2004, Dynamics of a family of third-order iterative methods that do not require using second derivatives, Appl. Math. Comput., 154, 735 Bi, 2008, New family of seventh-order methods for nonlinear equations, Appl. Math. Comput., 203, 408 Fang, 2008, An effcient Newton-type method with fifth-order convergence for solving nonlinear equations, Comput. Appl. Math, 27, 269, 10.1590/S0101-82052008000300003 Gutierrez, 2001, An acceleration of Newton’s method: Super-Halley method, Appl. Math. Comput., 117, 223 Kogan, 1966, Generalization of the method of chords for an algebraic or transcendental equation, Tashkent, Gos. Univ. NauČn. Trudy (Russian) Vyp., 276, 53 Kogan, 1967, Construction of iterative processes of high orders, Ž.Vyčisl. Mat. I Mat. Fiz. (Russian), 7, 423 Kou, 2006, A variant of Chebyshev’s method with sixth-order convergence, Numer. Algorithms, 43, 273, 10.1007/s11075-006-9058-y Kou, 2007, Modified Chebyshev-Halley methods with sixth-order convergence, Appl. Math. Comput., 188, 681 Kou, 2007, The improvements of Chebyshev–Halley methods with fiffth-order convergence, Appl. Math. Comput., 188, 143 Noor, 2007, Fourth-order iterative method free from second derivative for solving nonlinear equations, Appl. Math. Sci., 6, 4617 Petcović, 2010, Families of optimal multipoint methods for solving nonlinear equations: a survey, Appl. Anal. Discrete Math., 4, 1, 10.2298/AADM100217015P Ostrowski, 1973 Kogan, 2007, A nonstationary iterative second-order method for solving nonlinear equations, Appl. Math. Comput., 188, 75 Kogan, 2016, The Fibonacci family of iterative processes for solving nonlinear equations, Appl. Numer. Math., 110, 148, 10.1016/j.apnum.2016.08.012 Kung, 1974, Optimal order of one-point and multipoint iteration, J. ACM, 21, 643, 10.1145/321850.321860