Extending the domain of starting points for Newton's method under conditions on the second derivative

  1. Argyros, I.K. 2
  2. Ezquerro, J.A. 1
  3. Hernández-Verón, M.A. 1
  4. Magreñán, Á.A. 3
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Cameron University
    info

    Cameron University

    Lawton, Estados Unidos

    ROR https://ror.org/00rgv0036

  3. 3 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

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Revista:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Ano de publicación: 2018

Volume: 340

Páxinas: 1-10

Tipo: Artigo

DOI: 10.1016/J.CAM.2018.01.024 SCOPUS: 2-s2.0-85042935361 GOOGLE SCHOLAR

Outras publicacións en: Journal of Computational and Applied Mathematics

Resumo

In this paper, we propose a center Lipschitz condition for the second Fréchet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we compare the new result with an older one and see that the former improves the latter. © 2018 Elsevier B.V.