A New Solution Approach for Non-Linear Equation Systems with Grey Wolf Optimizer

Year 2018, Volume: 1 Issue: 3, 1 - 11, 18.12.2018

Pakize Erdoğmuş

https://doi.org/10.35377/saucis.01.03.475565

Cited By: 4

Abstract

The aim of this study
is to bring a new perspective for the solutions of non-linear equation systems.
So this study handles the non-linear equation systems as a constrained
optimization problem, while generally is handled unconstrained optimization
problem or multi objective optimization problem. The object is to minimize the
sum of the squares of nonlinear equations under the nonlinear equality
constraints. A recently developed heuristic optimization algorithm called Grey
Wolf Optimizer (GWO) is proposed for the solution of nonlinear equation
systems. Two results were obtained. Firstly, it has been seen that GWO can be
an alternative solution technique for the solution of nonlinear equation
systems. Secondly, modelling the systems of nonlinear equations as constrained
optimization gives better results.

Keywords

Non-linear equation systems, heuristic methods, constrained optimization

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