Abstract
In this paper we give some geometric constructions of
variations of Newton’s method, based on ideas of Schroder, for the case ¨
that roots are multiple. A straight line and a polynomial are used to
construct the iteration equation when the multiplicity of the root is known.
In the case that the multiplicity is unknown another straight line and a
rational function are used. Representative figures of an example are given.
Carlos E. Cadenas R. (2018) Some Geometric Constructions of Two Variants of Newton’s Method to Solving Nonlinear Equations with Multiple Roots, Punjab University Journal of Mathematics, Volume 50, Issue 1.
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