A class of Steffensen-type iterative methods for nonlinear systems

DOI10.1155/2014/705375zbMath1442.65095OpenAlexW2039129662WikidataQ59051928 ScholiaQ59051928MaRDI QIDQ2336653

Yanyan Li

Publication date: 19 November 2019

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

Full work available at URL: https://doi.org/10.1155/2014/705375

Mathematics Subject Classification ID

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

Related Items (1)

Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems

Uses Software

• Mathematica

Cites Work

• On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
• A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs
• Finding the roots of system of nonlinear equations by a novel filled function method
• A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations
• A hybrid of the Newton-GMRES and electromagnetic meta-heuristic methods for solving systems of nonlinear equations
• Basins of attraction for various Steffensen-type methods
• An efficient higher-order quasilinearization method for solving nonlinear BVPs
• Mathematica in Action
• Globally Convergent Inexact Newton Methods
• The Mathematica GuideBook for Numerics
• A modified Newton-Jarratt's composition
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