Behaviour of fixed and critical points of the \((\alpha,c)\)-family of iterative methods

DOI10.1007/s10910-014-0465-3zbMath1331.65072OpenAlexW2070940136MaRDI QIDQ2353552

Pura Vindel, Juan Ramón Torregrosa Sánchez, Beatriz Campos, Alicia Cordero

Publication date: 15 July 2015

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0465-3

zbMATH Keywords

iterative methodsnonlinear equationsparameter planesdynamics of rational functions

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• I. Numerical nonlinear analysis: Differential methods and optimization applied to chemical reaction rate determination
• Study of a biparametric family of iterative methods
• Derivative-free high-order methods applied to preliminary orbit determination
• Chaos in King's iterative family
• The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry
• Dynamics of a family of Chebyshev-Halley type methods
• Dynamics of the family of c-iterative methods
• Dynamics in One Complex Variable. (AM-160)

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