An algorithm for computing the effect of large parameter changes on an optimal design solution is presented in some detail. The numerical procedure involves a path-following continuation strategy that takes advantage of the usual computations performed by a nonlinear programming algorithm, specifically the sequential quadratic programming method. One of the applications of this method is to allow the designer to introduce an arbitrary parameter embedding in the model for which a local optimum is known and then to explore the path that this solution would follow under large parameteric deformation. Several examples are included, but detailed design examples are deferred to a sequel article. The present article is itself a sequel to a previous one that presents the theoretical foundation and design motivation for this algorithm.

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