A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis

DOI10.1002/MMA.9197MaRDI QIDQ6137247

Munish Kansal, Himani Sharma

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

basin of attractionnonlinear equationcomplex dynamics\(R\)-order of convergencedynamical planeiterative method with memory

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

Analysis of optimal iterative methods from a dynamical point of view by studying their stability properties

Cites Work

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• Stability and applicability of iterative methods with memory
• Complex dynamics of derivative-free methods for nonlinear equations
• Dynamics of a family of Chebyshev-Halley type methods
• Families of Newton-like methods with fourth-order convergence
• Complex analytic dynamics on the Riemann sphere
• Optimal Order of One-Point and Multipoint Iteration
• A note on \(Q\)-order of convergence

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