This paper is concerned with solving a problem from the literature, namely to solve non‐linear systems of equations involving non‐negative variables. Based on previously published computer programs, the complete computer program listed here incorporates an additional way of moving from a current point to another point. A larger variety of moves for leaving a current point for another point results in an algorithm suitable for more problems. This additional move is due to specification in the listed computer program that a variable's new value is equal to its current value plus or minus a varying proper fraction of one per cent of the current value. The computational results presented here are comparable to those presented in a substantial article published in 1986, which are repeated here for convenient comparisons. The new results suggest that the listed computer program can be used as a model to obtain solutions to the problem.