Complex dynamics of a sixth and seventh order family of root finding methods

DOI10.1007/S40324-020-00223-0zbMath1457.37110OpenAlexW3033116610MaRDI QIDQ827624

Debasis Sharma, Sanjaya Kumar Parhi

Publication date: 13 January 2021

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-020-00223-0

zbMATH Keywords

stabilityiterative methodsparameter spacecomplex dynamicsdynamical plane

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems in numerical analysis (37N30)

Related Items (2)

A study on the local convergence and complex dynamics of Kou's family of iterative methods ⋮ On the convergence, dynamics and applications of a new class of nonlinear system solvers

Cites Work

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• The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence
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