An optimal and efficient general eighth-order derivative free scheme for simple roots
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Ramandeep Behl | Sandile Sydney Motsa | Prashanth Maroju | D. González | S. Motsa | R. Behl | P. Maroju | D. González
[1] Janak Raj Sharma,et al. An efficient family of weighted-Newton methods with optimal eighth order convergence , 2014, Appl. Math. Lett..
[2] Jingya Li,et al. An optimal Steffensen-type family for solving nonlinear equations , 2011, Appl. Math. Comput..
[3] Peng Zhao,et al. A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs , 2011, Appl. Math. Comput..
[4] J. R. Sharma. A family of third-order methods to solve nonlinear equations by quadratic curves approximation , 2007, Appl. Math. Comput..
[5] J. M. Gutiérrez,et al. Geometric constructions of iterative functions to solve nonlinear equations , 2003 .
[6] Changbum Chun. A one-parameter family of third-order methods to solve nonlinear equations , 2007, Appl. Math. Comput..
[7] R. Thukral. Eighth-Order Iterative Methods without Derivatives for Solving Nonlinear Equations , 2011 .
[8] Hongmin Ren,et al. A class of two-step Steffensen type methods with fourth-order convergence , 2009, Appl. Math. Comput..
[9] Vinay Kanwar,et al. An Optimal Eighth-Order Derivative-Free Family of Potra-Pták's Method , 2015, Algorithms.
[10] Nazir Ahmad Mir,et al. Some quadrature based three-step iterative methods for non-linear equations , 2007, Appl. Math. Comput..
[11] Herbert H. H. Homeier. On Newton-type methods with cubic convergence , 2005 .
[12] George Adomian,et al. On the solution of algebraic equations by the decomposition method , 1985 .
[13] Changbum Chun,et al. Iterative methods improving newton's method by the decomposition method , 2005 .
[14] Alicia Cordero,et al. A class of Steffensen type methods with optimal order of convergence , 2011, Appl. Math. Comput..
[15] Fazlollah Soleymani,et al. Optimal Steffensen-type methods with eighth order of convergence , 2011, Comput. Math. Appl..
[16] Alicia Cordero,et al. Steffensen type methods for solving nonlinear equations , 2012, J. Comput. Appl. Math..
[17] Saeid Abbasbandy,et al. Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method , 2003, Appl. Math. Comput..
[18] Ramandeep Behl,et al. A new family of Schröder's method and its variants based on power means for multiple roots of nonlinear equations , 2010 .
[19] Yitian Li,et al. A modification of Newton method with third-order convergence , 2006, Appl. Math. Comput..
[20] M. Frontini,et al. Some variant of Newton's method with third-order convergence , 2003, Appl. Math. Comput..
[21] Fazlollah Soleymani,et al. Finding the solution of nonlinear equations by a class of optimal methods , 2012, Comput. Math. Appl..
[22] Yitian Li,et al. A composite fourth-order iterative method for solving non-linear equations , 2007, Appl. Math. Comput..
[23] Yitian Li,et al. A family of fifth-order iterations composed of Newton and third-order methods , 2007, Appl. Math. Comput..
[24] Sukhjit Singh Dhaliwal,et al. On method of osculating circle for solving nonlinear equations , 2006, Appl. Math. Comput..
[25] Changbum Chun,et al. A new sixth-order scheme for nonlinear equations , 2012, Appl. Math. Lett..
[26] H. T. Kung,et al. Optimal Order of One-Point and Multipoint Iteration , 1974, JACM.
[27] Beny Neta,et al. A sixth-order family of methods for nonlinear equations , 1979 .
[28] Alicia Cordero,et al. A family of iterative methods with sixth and seventh order convergence for nonlinear equations , 2010, Math. Comput. Model..
[29] Sukhjit Singh Dhaliwal,et al. Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations , 2007, Numerical Algorithms.
[30] Sunethra Weerakoon,et al. A variant of Newton's method with accelerated third-order convergence , 2000, Appl. Math. Lett..
[31] R. F. King. A Family of Fourth Order Methods for Nonlinear Equations , 1973 .
[32] P. Jarratt. Some fourth order multipoint iterative methods for solving equations , 1966 .
[33] Y. Cherruault,et al. Convergence of Adomian's method applied to nonlinear equations , 1994 .
[34] Donald Nudds,et al. The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer , 1965, Computer/law journal.
[35] Trond Steihaug,et al. Algorithm for forming derivative-free optimal methods , 2013, Numerical Algorithms.
[36] P. Jarratt. Some efficient fourth order multipoint methods for solving equations , 1969 .
[37] Puneet Gupta,et al. Improved King's methods with optimal order of convergence based on rational approximations , 2013, Appl. Math. Lett..
[38] Vinay Kanwar. A family of third-order multipoint methods for solving nonlinear equations , 2006, Appl. Math. Comput..
[39] Fazlollah Soleymani,et al. Some modifications of King's family with optimal eighth order of convergence , 2012, Math. Comput. Model..
[40] Sanjeev Kumar,et al. On some modified families of multipoint iterative methods for multiple roots of nonlinear equations , 2012, Appl. Math. Comput..
[41] Peng Zhao,et al. A variant of Steffensen's method of fourth-order convergence and its applications , 2010, Appl. Math. Comput..
[42] Changbum Chun. A geometric construction of iterative functions of order three to solve nonlinear equations , 2007, Comput. Math. Appl..