Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016

DOI10.1007/S10910-016-0724-6zbMath1383.65047OpenAlexW2568446706MaRDI QIDQ683879

Alicia Cordero, Javier G. Maimó, Maria P. Vassileva, Juan Ramón Torregrosa Sánchez

Publication date: 9 February 2018

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

Full work available at URL: http://hdl.handle.net/10251/106299

zbMATH Keywords

stabilitybasin of attractioniterative methodsystems of nonlinear equationsFisher's equationdynamical planechemical wave propagation

Mathematics Subject Classification ID

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

Related Items (3)

Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems ⋮ Dynamics of subfamilies of Ostrowski-Chun methods ⋮ On the effect of the multidimensional weight functions on the stability of iterative processes

Cites Work

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• Different anomalies in a Jarratt family of iterative root-finding methods
• Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
• A new tool to study real dynamics: the convergence plane
• A new family of iterative methods widening areas of convergence
• Stability of a fourth order bi-parametric family of iterative methods
• Solving nonlinear problems by Ostrowski-Chun type parametric families
• Chaos in King's iterative family
• Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations

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