Abstract: A new method for finding the largest eigenvalue of a generalised nonnegative polynomial was introduced in 2014 by Ibrahim. The method was proven to be convergent for weakly irreducible polynomials. In the method, an irreducible polynomial is shifted such that it becomes primitive. However, it is unknown what is the optimal shift and the effect of the step length to the method. In this study we examine the effect of the step length to the method.