A note on Halley's method

  1. Hernández Verón, M.A. 1
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revista:
Numerische Mathematik

ISSN: 0029-599X

Any de publicació: 1991

Volum: 59

Número: 1

Pàgines: 273-276

Tipus: Article

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DOI: 10.1007/BF01385780 SCOPUS: 2-s2.0-0001440927 WoS: WOS:A1991FN90100004 GOOGLE SCHOLAR

Altres publicacions en: Numerische Mathematik

Resum

We introduce the degree of logarithmic convexity which provides a measure of the convexity of a function at each point. Making use of this concept we obtain a new theorem of global convergence for Halley's method. © 1991 Springer-Verlag.