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The results for the AC-OPF problem.

The results for the AC-OPF problem.

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We establish a connection between multiplication operators and shift operators. Moreover, we derive positive semidefinite conditions of finite rank moment sequences and use these conditions to strengthen Lasserre's hierarchy for real and complex polynomial optimization. Integration of the strengthening technique with sparsity is considered. Extensi...

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... solve each instance using the sparse LAS and the sparse S-LAS with minimum relaxation order [16]. The results are presented in Table 9, from which we see that the strengthening technique substantially reduce the optimality gap in most cases. ...

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