On the implementation of primal-dual interior-point methods for semidefinite programming problems derived from the KYP lemma

On the implementation of primal-dual interior-point methods for semidefinite programming problems derived from the KYP lemma

L. Vandenberghe, V. Balakrishnan, R. Wallin and A. Hansson

In Proc. IEEE Conference on Decision and Control, Maui, Hawaii, pages 4658-4663, December 2003


Abstract: We discuss fast implementations of primal-dual interior-point methods for semidefinite programs derived from the Kalman-Yakubovich-Popov lemma, a class of problems that are widely encountered in control and signal processing applications. By exploiting problem structure, we achieve a reduction of the complexity by several orders of magnitude compared to general-purpose semidefinite porgramming solvers.
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