New family of root-finding algorithms based on inverse rational interpolation

DOI10.2298/aadm220708003dOpenAlexW4319439288MaRDI QIDQ6195504

Jovana Džunić

Publication date: 14 March 2024

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm220708003d

zbMATH Keywords

rational functionsnonlinear equationsmultipoint iterative methodsinverse interpolation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

• Multipoint methods for solving nonlinear equations: a survey
• Comparative study of eighth-order methods for finding simple roots of nonlinear equations
• A family of optimal three-point methods for solving nonlinear equations using two parametric functions
• Derivative free two-point methods with and without memory for solving nonlinear equations
• Computers in mathematical research: the study of three-point root-finding methods
• General approach to constructing optimal multipoint families of iterative methods using Hermite's rational interpolation
• A one-parameter fourth-order family of iterative methods for nonlinear equations
• The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
• Optimal Order of One-Point and Multipoint Iteration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New family of root-finding algorithms based on inverse rational interpolation