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Region of accessibility for a class of Newton-type iterations

    1. [1] Universidad de La Rioja

      Universidad de La Rioja

      Logroño, España

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 1, 1998, págs. 71-76
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1998.0001.00006
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  • Resumen
    • We consider in this paper, for a family of Newton-type iterative processes, the questions of existence, uniqueness, and construction of approximations of fixed points of complex functions which satisfy certain simple conditions, as well as the problem of error estimation for approximate solutions.

  • Referencias bibliográficas
    • Citas [1] EZQUERRO, J.A. AND HERNÁNDEZ, M.A., A Note on a Farnily of Newton Type Iterative Processes. Intern. J. Computer Math. 62, pp....
    • [2] GUTIÉRREZ, J.M., HERNÁNDEZ, M.A. AND SALANOVA, M.A., Accessibility of Solutions by Newton's Method. Intern. J. Computer Math. 57,...
    • [3] HERNÁNDEZ, M.A., A Note on Halley's Method. Numer. Math. 59, 3, pp. 273-276, (1991).
    • [4] HERNÁNDEZ, M.A., Newton-Raphson's Method and Convexity, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., 22, 1, pp. 159-166, (1992).
    • [5] HERNÁNDEZ, M.A. AND SALANOVA, M.A., A Farnily of Newton Type Iterative Processes. Intern. J. Computer Math. 51, pp. 205-214, (1994).
    • [6] RALL, L.B., Computational Solution ofNonlinear Operator Equations. Robert E. Krieger Publishing Company, Inc., (1979).

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