Titlebook: Newton’s Method and Dynamical Systems; Heinz-Otto Peitgen Book 1989 Kluwer Academic Publishers, Dordrecht, Holland 1989 Meromorphic functi

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,Discrete Versus Continuous Newton’s Method: A Case Study, generally carries over to Newton’s method ..(.) only for certain nondegenerate polynomials and for sufficiently small step sizes . > 0. Further we discuss the damped Newton’s method applied to the family of polynomials of degree 3.

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Idiosyncratic Remarks by a Bibliomaniac: 5. A Random Sample of Structured Chaos,to use. Or, to put it another way, the tale is about the rescuing of beautiful monsters from slavering princesses — a phrase, which, I believe, comes from somewhere in one of Douglas Adams’ books; it sounds like him anyway.

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The Continuous, Desingularized Newton Method for Meromorphic Functions,. For a generic class of rational functions, we give a complete graph-theoretical characterization, resp. classification, of these systems. Finally, we present some results on the asymptotic behaviour of meromorphic functions.

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