creative_2011_20_1_008_015_001

A topological structure on the basins of attraction for iterative methods


Gheorghe Ardelean


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creative_2011_20_1_008_015

In a previous paper we investigated the \emph{left topology} associated to a quasiorder relation (a reflexive and transitive binary relation) on a set. In this work we introduce a topological structure on the basins of attraction of some iterative methods for solving nonlinear equations. Some results obtained in our investigations are presented.

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Ardelean, Gheorghe