A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics
DOI:
https://doi.org/10.29020/nybg.ejpam.v16i3.4529Keywords:
multiple-root solver, cubic-order, conjugacy, parameter spaceAbstract
The complex dynamical analysis of the cubic-order iterative family is proposed to draw the fractal images via M\"{o}bius conjugacy map applied to a quadratic polynomial $(z-A) (z-B)$. The resulting dynamics is clearly visualized through various stability surfaces and parameter spaces using Mathematica.
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