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A new algorithm that generates the image of the attractor of a generalized iterated function system

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Abstract

We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and we compare it with the deterministic algorithm regarding generalized iterated function systems presented by Jaros et al. (Numer. Algorithms 73, 477–499, 2016).

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Acknowledgments

The authors are very grateful to the reviewers whose extremely generous and valuable remarks and comments brought substantial improvements to the paper.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu Street, nr. 50, 500091, Braşov, Romania

    Radu Miculescu

  2. Faculty of Mathematics and Computer Science, University of Bucharest, Romania, Academiei Street 14, 010014, Bucharest, Romania

    Alexandru Mihail

  3. Faculty of Mathematics and Computer Science, University of Piteşti, Romania, Târgul din Vale 1, 110040, Piteşti, Argeş, Romania

    Silviu-Aurelian Urziceanu

Authors
  1. Radu Miculescu
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  2. Alexandru Mihail
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  3. Silviu-Aurelian Urziceanu
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Correspondence to Radu Miculescu.

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Miculescu, R., Mihail, A. & Urziceanu, SA. A new algorithm that generates the image of the attractor of a generalized iterated function system. Numer Algor 83, 1399–1413 (2020). https://doi.org/10.1007/s11075-019-00730-w

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  • DOI: https://doi.org/10.1007/s11075-019-00730-w

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