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Therefore, this problem can not be solved efficiently in the real world.
These coding schemes are based on finding large cliques in graphs, which can be solved efficiently in the graphs relevant to these coding schemes.
The problem (27) is a semi-infinite SOCP and hence convex, but it is still not easy to be solved efficiently in the current form.
The problem can be solved efficiently in terms of the new variables, and the l2 norm of the computed solution is time-invariant.
If this gap decreases exponentially with the size of the input, then the evolution time of the algorithm will increase exponentially; if the gap decreases polynomially, the decision problem so encoded could be solved efficiently in polynomial time.
The modeling problems can then be solved efficiently in real-time to control optimally all major residential energy loads, storage and production components while considering customer preferences and comfort levels.
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A comprehensive example illustrating its application is given in the Additional file 2. The key advantage of this approach is that semidefinite programming can be solved efficiently (i.e., in polynomial time in the input size).
Then such formula can be solved efficiently by a Thomas algorithm in (32N_{h}^{2}) flops [11].
In the present paper, it has been shown that the arising quadratic matrix system polynomial factors can be handled in parallel and each of them can be solved efficiently with a preconditioning method, resulting in very few iterations.
This image separation problem can be solved efficiently using an iterative shrinkage algorithm proposed in [17] (Figure 5).
As a result, the optimization problem in (27) can be solved efficiently by well-known linear programming methods, such as simplex methods or interior point methods [27].
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