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On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization

On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization

This paper revisits the parametric analysis of semidefinite optimization problems with respect to the perturbation of the objective function along a fixed direction. We review the notions of invariancy set, nonlinearity interval, and transition point of the optimal partition, and we investigate their characterizations. We show that the set of …