Basins of attraction for various Steffensen-type methods

DOI10.1155/2014/539707zbMath1406.65035OpenAlexW2024423464WikidataQ59053456 ScholiaQ59053456MaRDI QIDQ1714662

Alicia Cordero, Stanford Shateyi, Fazlollah Soleymani, Juan Ramón Torregrosa Sánchez

Publication date: 1 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/539707

Mathematics Subject Classification ID

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

Related Items (14)

A generalized Steffensen's method for matrix sign function ⋮ Several iterative methods with memory using self-accelerators ⋮ On a Moser-Steffensen type method for nonlinear systems of equations ⋮ Widening basins of attraction of optimal iterative methods ⋮ Some new weighted eighth-order variants of Steffensen-King's type family for solving nonlinear equations and its dynamics ⋮ Unnamed Item ⋮ A multidimensional dynamical approach to iterative methods with memory ⋮ A family of Kurchatov-type methods and its stability ⋮ A Steffensen type method of two steps in Banach spaces with applications ⋮ Preserving the order of convergence: low-complexity Jacobian-free iterative schemes for solving nonlinear systems ⋮ A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method ⋮ Several numerical methods for computing unitary polar factor of a matrix ⋮ Finite pairs of prescribed cycles of König's and Steffensen's methods for entire functions ⋮ A class of Steffensen-type iterative methods for nonlinear systems

Uses Software

• Mathematica

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