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In multilevel optimization, all the decomposition-coordination methods deal with the coupling equations of the sub-systems. The partition of the system is then an important factor in the synthesis of multilevel structures. In the study of the effects of couplings on coordination convergence, a suboptimal partitioning criteria has been proposed for linear coupling equations. For large scale systems, one will be faced with the partition of large coupling matrices and graphical methods seems to be useful.

On the partitioning problem in the synthesis of multilevel optimization structures