Introduction to higher-order iterative methods for finding multiple roots of nonlinear equations

DOI10.1155/2013/404635zbMath1268.65076OpenAlexW2030828581WikidataQ59015385 ScholiaQ59015385MaRDI QIDQ355694

Rajinder Thukral

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/404635

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (10)

Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters ⋮ An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence ⋮ A stable class of modified Newton-like methods for multiple roots and their dynamics ⋮ Introduction to higher-order iterative methods for finding multiple roots of nonlinear equations ⋮ Iterative methods for multiple roots with memory using self-accelerating technique ⋮ New higher order iterative method for multiple roots of nonlinear equations ⋮ Iteration methods with an auxiliary function for nonlinear equations ⋮ A family of optimal eighth order iteration functions for multiple roots and its dynamics ⋮ Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions ⋮ Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence

Cites Work

• Introduction to higher-order iterative methods for finding multiple roots of nonlinear equations
• On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
• Moments in quadrature problems
• Modified Jarratt method for computing multiple roots
• A new fourth-order iterative method for finding multiple roots of nonlinear equations
• Some fourth-order nonlinear solvers with closed formulae for multiple roots
• Selection of good algorithms from a family of algorithms for polynomial derivative evaluation
• Optimal Order of One-Point and Multipoint Iteration

This page was built for publication: Introduction to higher-order iterative methods for finding multiple roots of nonlinear equations