Abstract
A homotopy approach for solving constrained parameter optimization problems is examined. The first-order necessary conditions, with the complementarity conditions represented using a technique due to Mangasarian (1967) are solved. The equations are augmented to avoid singularities which occur when the active constraint changes. The Chow-Yorke (1978) algorithm is used to track the homotopy path leading to the solution to the desired problem at the terminal point. A simple example which illustrates the technique and an application to a fuel optimal orbital transfer problem are presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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