Dynamics of Newton-like root finding methods

When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z 2 − c has the same form regardless of which algorithm has been used. In this paper, we justify why this expression is obtained. This is done b...

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Veröffentlicht in:	Numerical algorithms 2023-08, Vol.93 (4), p.1453-1480
Hauptverfasser:	Campos, B., Canela, J., Vindel, P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algorithms Approximation Computer Science Efficiency Iterative methods Linear equations Methods Numeric Computing Numerical Analysis Original Paper Polynomials Qualitative research Theory of Computation
Online-Zugang:	Volltext
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