Here we in particular fill in details of the proof of results for self-dual variables not given in text books.
12.
In addition, the edge between two variables is labeled by the original variables that are enforced equal between these two dual variables.
13.
This way, a dual variable can take a value if and only if the corresponding original constraint is satisfied by the corresponding tuple.
14.
As with electricity markets, after solution, the primal variables prescribe the optimal flows, and the dual variables provide the market clearing prices.
15.
Moreover, unlike the general nonconvex problems, ADMM will guarantee to converge a feasible solution as long as its dual variable converges in the iterations
16.
Rather than iterate until convergence ( like the Jacobi method ), the algorithm proceeds directly to updating the dual variable and then repeating the process.
17.
The all-new 1NR-VE engine features dual variable-valve timing with intelligence ( DVVT-i ) on both intake and exhaust valves.
18.
The vectors \ lambda and \ nu are called the " dual variables " or " Lagrange multiplier vectors " associated with the problem.
19.
The Gamma 1.6 gets a new dual variable valve timing ( 128 hp ), and in some countries, gets a direct injection fuel system.
20.
In addition to the cost value and the primal solution, DIDO automatically outputs all the dual variables that are necessary to verify and validate a computational solution.
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