An Equality Constrained RQP Algorithm Based on the Augmented Lagrangian Penalty Function

Abstract

In comparative studies of constrained optimization methods the equality constrained recursive quadratic programming procedure has performed very favorably, particularly in terms of required computer time for execution. Biggs has formulated a strategy based on a quadratic penalty function and proved the global convergence of the method. This paper reformulates the procedure based on an augmented Lagrangian penalty function leading to improved performance and reduced sensitivity to the algorithm parameters