
A straightforward mechanism for deriving one-point iteration functions (IFs) of order two or more, or simultaneous IFs of order three or more, is given. In addition, the case of multiple zeros is explored. These IFs are extensively tested computationally, and experimental results are given.
iteration functions, General theory of numerical methods in complex analysis (potential theory, etc.), zeros of polynomials, csis, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
iteration functions, General theory of numerical methods in complex analysis (potential theory, etc.), zeros of polynomials, csis, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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