JournalszaaVol. 25 , No. 2DOI 10.4171/zaa/1287

Fewer Convergence Conditions for the Halley Method

  • José Antonio Ezquerro

    Universidad de la Rioja, Logrono, Spain
  • M.A. Hernández

    Universidad de la Rioja, Logrono, Spain
Fewer Convergence Conditions for the Halley Method cover

Abstract

We present a new semilocal convergence result of Newton-Kantorovich type for Halley's method, where fewer convergence conditions are required than all the existing ones until now.