On the dynamics of the Euler iterative function

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摘要

The dynamics of Euler’s third-order iterative method which is used to find roots of non-linear equations applied to complex polynomials of degrees three and four is studied. The conjugacy classes of this method are found explicitly.

论文关键词:Euler’s iterative method,Dynamics,Rational maps,Conjugacy classes

论文评审过程:Available online 25 September 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.08.086