King-type derivative-free iterative families: real and memory dynamics

DOI10.1155/2017/2713145zbMath1378.65111OpenAlexW2766343750MaRDI QIDQ1687407

Alicia Cordero, Juan Ramón Torregrosa Sánchez, Maria P. Vassileva, Francisco I. Chicharro

Publication date: 3 January 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2713145

zbMATH Keywords

stability analysisnonlinear equationsderivative-free optimal iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12)

Related Items (4)

Derivative free iterative methods with memory having higher R-order of convergence ⋮ Memory in the iterative processes for nonlinear problems ⋮ Stability and applicability of iterative methods with memory ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations

Cites Work

• A new tool to study real dynamics: the convergence plane
• Multipoint methods for solving nonlinear equations: a survey
• Stability of King's family of iterative methods with memory
• Graphic and numerical comparison between iterative methods
• Derivative free iterative methods for nonlinear systems
• A multidimensional dynamical approach to iterative methods with memory
• Dynamics and fractal dimension of Steffensen-type methods
• Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
• Complex dynamics of derivative-free methods for nonlinear equations
• Complex analytic dynamics on the Riemann sphere
• Optimal Order of One-Point and Multipoint Iteration
• Dynamics of a fifth-order iterative method
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