On the approximation of \(m\)th power divided differences preserving the local order of convergence

DOI10.1016/j.amc.2021.126415OpenAlexW3179421321MaRDI QIDQ2245036

Publication date: 12 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126415

zbMATH Keywords

iterative method divided difference nonlinear system of equations \(R\)-order Jacobian-free scheme \(Q\)-order local order of convergence

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer aspects of numerical algorithms (65Yxx) Nonlinear algebraic or transcendental equations (65Hxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Different anomalies in a Jarratt family of iterative root-finding methods
Advances in iterative methods for nonlinear equations
Three-point methods with and without memory for solving nonlinear equations
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
Frozen divided difference scheme for solving systems of nonlinear equations
On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
On new computational local orders of convergence
On efficient weighted-Newton methods for solving systems of nonlinear equations
On some computational orders of convergence
A variant of Steffensen's method of fourth-order convergence and its applications
Third and fourth order iterative methods free from second derivative for nonlinear systems
Zero-finder methods derived from Obreshkov's techniques
On Q-order and R-order of convergence
Convergence rates and convergence-order profiles for sequences
Preserving the order of convergence: low-complexity Jacobian-free iterative schemes for solving nonlinear systems
Frozen iterative methods using divided differences ``à la Schmidt-Schwetlick
Solving nonlinear problems by Ostrowski-Chun type parametric families
Variants of Newton's method using fifth-order quadrature formulas
Computational theory of iterative methods.
Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems
A Technique to Composite a Modified Newton's Method for Solving Nonlinear Equations
Iterative Methods and Their Dynamics with Applications
Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
MPFR
Convergence of Multipoint Iterative Methods
An efficient derivative free iterative method for solving systems of nonlinear equations
Orders of Convergence for Iterative Procedures
Some Fourth Order Multipoint Iterative Methods for Solving Equations
A variant of Newton's method with accelerated third-order convergence
A modified Newton-Jarratt's composition

This page was built for publication: On the approximation of \(m\)th power divided differences preserving the local order of convergence