On general families of multipoint iterations by inverse interpolation and their applications

DOI10.1016/j.cam.2023.115096OpenAlexW4318459822MaRDI QIDQ6099485

Publication date: 20 June 2023

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.2023.115096

zbMATH Keywords

optimal order of convergence nonlinear problem inverse interpolation self-acceleration multiple shooting method general multipoint iteration

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical analysis (65-XX) Nonlinear algebraic or transcendental equations (65Hxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Solving nonlinear equations by a derivative-free form of the King's family with memory
Advances in iterative methods for nonlinear equations
On generalized multipoint root-solvers with memory
Low-complexity root-finding iteration functions with no derivatives of any order of convergence
An optimal Steffensen-type family for solving nonlinear equations
Construction of optimal order nonlinear solvers using inverse interpolation
Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics
Efficient \(n\)-point iterative methods with memory for solving nonlinear equations
A nonlinear shooting method for two-point boundary value problems
An optimal biparametric multipoint family and its self-acceleration with memory for solving nonlinear equations
Application of interval Newton's method to chemical engineering problems
A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations
On generalized biparametric multipoint root finding methods with memory
Some real-life applications of a newly constructed derivative free iterative scheme
On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
Optimal Newton–Secant like methods without memory for solving nonlinear equations with its dynamics
Numerical solution of constrained non-linear algebraic equations
On a family of multipoint methods for non-linear equations
Optimal Order of One-Point and Multipoint Iteration

This page was built for publication: On general families of multipoint iterations by inverse interpolation and their applications