Parameter-based algorithms for approximating local solution of nonlinear complex equations
Argyros, Ioannis K.
We study the Ostrowski-Kantorovich convergence for a family of Halley- Werner type iteration methods in the complex plane. We provide an upper error bound for all parameter ⍺ ∊ [1 , 2). We show that the error bound is a decreasing function of ⍺. We prove also that the Halley method has the largest error bound.