On the convergence speed for some iterative methods

The paper derives two types of iterative methods, each containing two parameters. Then it establishes that these methods converge globally and monotonically to the zeros of both a polynomial and with only real zeros and an entire function of genus 0 and 1 (and in certain cases of genus 2) with only real zeros under some assumptions. This paper discusses the convergence speed in Ostrowski’s method, Halley’s method and the present methods.