Minimization Algorithms Making Use of Non-quadratic Properties of the Objective Function

This paper proposes modifications to the matrix updating formulaeused in the Fletcher-Powell (1963), Broyden (1970) and Fletcher(1970) methods for function minimization, and discusses someproperties of these modified formulae. A function minimizationalgorithm incorporating the new expressions has been programmedand the results of tests with some well-known functions arereported.