Golden section search solution of single variable optimization problems using MathCad

Abstract

The method of solution presented in this article is based on a searching technique known as the Golden Section Rule. This method can be used for solving single-variable optimization problems without constraints, but for which variable the initial interval of uncertainty can be specified for searching the optimum values of the design variables. The intention is to facilitate the understanding of how optimization problems can be formulated and solved more easily using existing computer-aided mathematics and calculus packages. MathCad® software is used as the computer tool for this application.