Polynomiography for the polynomial infinity norm via Kalantari’s formula and nonstandard iterations

作者：

Highlights：

• Survey of fixed point iteration processes.

• Extension of the pseudo-Newton method idea to other root finding methods.

• Modifications of the MMP-methods and their convergence visualizations.

• Non-trivial and intriguing polynomiographs have been obtained.

摘要

•Survey of fixed point iteration processes.•Extension of the pseudo-Newton method idea to other root finding methods.•Modifications of the MMP-methods and their convergence visualizations.•Non-trivial and intriguing polynomiographs have been obtained.

论文关键词：Fractals,Polynomiography,Iterations,Root finding,Maximum modulus

论文评审过程：Received 19 August 2016, Revised 3 February 2017, Accepted 27 February 2017, Available online 17 March 2017, Version of Record 17 March 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.02.038