An optimal and efficient general eighth-order derivative free scheme for simple roots
From MaRDI portal
Publication:1675998
DOI10.1016/j.cam.2017.07.036zbMath1376.65079OpenAlexW2749351704MaRDI QIDQ1675998
Prashanth Maroju, Ramandeep Behl, D. González, Sandile Sydney Motsa
Publication date: 3 November 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.07.036
convergencenonlinear equationsnumerical resultsimple rootscomputational order of convergenceeighth-order iterative schemesSteffensen's type method
Related Items
Local convergence of a seventh order derivative-free method for solving nonlinear equations in Banach spaces, Convergence analysis of the modified Chebyshev's method for finding multiple roots, Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Steffensen type methods for solving nonlinear equations
- Eighth-order iterative methods without derivatives for solving nonlinear equations
- Three-point methods with and without memory for solving nonlinear equations
- On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
- Finding the solution of nonlinear equations by a class of optimal methods
- Algorithm for forming derivative-free optimal methods
- A class of Steffensen type methods with optimal order of convergence
- A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs
- An optimal Steffensen-type family for solving nonlinear equations
- A family of iterative methods with sixth and seventh order convergence for nonlinear equations
- A new sixth-order scheme for nonlinear equations
- On the solution of algebraic equations by the decomposition method
- Iterative methods improving Newton's method by the decomposition method
- A modification of Newton method with third-order convergence
- A family of third-order methods to solve nonlinear equations by quadratic curves approximation
- A composite fourth-order iterative method for solving nonlinear equations
- A family of fifth-order iterations composed of Newton and third-order methods
- A variant of Steffensen's method of fourth-order convergence and its applications
- Some quadrature based three-step iterative methods for non-linear equations
- A class of two-step Steffensen type methods with fourth-order convergence
- Convergence of Adomian's method applied to nonlinear equations
- Geometric constructions of iterative functions to solve nonlinear equations
- Some variant of Newton's method with third-order convergence.
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- An optimal eighth-order derivative-free family of Potra-Pták's method
- On Newton-type methods with cubic convergence
- Some modifications of King's family with optimal eighth order of convergence
- Improved King's methods with optimal order of convergence based on rational approximations
- An efficient family of weighted-Newton methods with optimal eighth order convergence
- A one-parameter family of third-order methods to solve nonlinear equations
- Optimal Steffensen-type methods with eighth order of convergence
- A geometric construction of iterative functions of order three to solve nonlinear equations
- Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations
- On method of osculating circle for solving nonlinear equations
- A family of third-order multipoint methods for solving nonlinear equations
- A new family of Schröder's method and its variants based on power means for multiple roots of nonlinear equations
- The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
- A sixth-order family of methods for nonlinear equations
- Optimal Order of One-Point and Multipoint Iteration
- Some efficient fourth order multipoint methods for solving equations
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
- A variant of Newton's method with accelerated third-order convergence
