Tight bounds on the complexity index of one-point iterations
Authors:
J. M. Trojan
Affiliation:
Institute of Mathematics, Silesian Technical University, Gliwice, Poland
Abstract:
We study the minimal complexity index of one-point iterations without memory for the solution of a system of N nonlinear equations F(x)=0. We present an iteration * with maximal order of convergence and with linear combinatory complexity. We show the complexity index of * is close to the lower bound on the minimal complexity index.