Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of \(m\)th power divided differences

DOI10.1007/s10910-018-0971-9zbMath1415.65118OpenAlexW2898935116WikidataQ129013032 ScholiaQ129013032MaRDI QIDQ2000909

A. R. Amiri, Alicia Cordero, Juan Ramón Torregrosa Sánchez, Mohammad Taghi Darvishi

Publication date: 1 July 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-0971-9

zbMATH Keywords

basin of attractioniterative methodorder of convergencedivided differencenonlinear system of equationsJacobian-free scheme

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ On the effect of the multidimensional weight functions on the stability of iterative processes

Cites Work

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• Variants of Newton's method using fifth-order quadrature formulas
• Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems
• Dynamics of a family of Chebyshev-Halley type methods
• Solution of the Chandrasekhar H-equation by Newton’s Method
• A modified Newton-Jarratt's composition

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