A new probabilistic algorithm for solving nonlinear equations systems

Abstract

In this paper, we consider a class of optimization problems having the following characteristics: there exists a fixed number k (1≤kk. We build a new set of probabilities for controlling changes of the values of the digits and build Probabilistic-Driven Search algorithm for solving single-objective optimization problems of the class O_k. We test this approach by implementing the algorithm on nonlinear equations systems, and we find very good results that are better than results of other authors.