Continuous Newton’s method for polynomials. (English) Zbl 1052.30502

From the text: A description of domains of attraction for the continuous Newton method for a polynomial \(p\) is given using an improved version of the latter method. The differential equation \(p(z)'=-p(z)\) rather than \(p'(z)z'=-p(z)\) is being used.


30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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