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It can be rewritten as (21).
Condition (5.4) can be rewritten as (5.7).
then Theorem 2.8 can be rewritten as follows, let and.
For a fixed (xinmathbb{R}^{n}), ((mathit{QVI})) can be rewritten as an optimization problem bigl(P^{mathit{QVI}};xbigr)quadinf_{yin K x)} bigllangle T x),y-xbigrrangle.
By introducing a positive Lagrangian multiplier, (A.1) can be rewritten as the following unconstrained optimization problem: (A.2).
Then the original optimization problem can be rewritten as follows: (37).
The optimization problem can be rewritten as follows max P k i u k s.t P k ∈ X k, com (6).
By substituting (44) into both the objective function and the constraints of (14), the optimization problem can be rewritten as min P r 1 t f ( P r 1 t ) + P r 1 t s.t.
Clearly, only the second term in the summation of the cost function is relevant to the optimization problem, which can be rewritten as (29).
Therefore, the objective of the optimization problem (2) can be rewritten as: min_{Z,E} left| Z right|_ + gamma left| E right|_{1} (3).
The decentralized consensus optimization problem (2) with neighboring consensus constraints can be rewritten as the form of (5).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com