Given the known quantized channel H ̂, we attempt to minimize the WMMSE by solving the following optimization minimize W, γ E Σ 1 2 G u - γ G - 1 Σ - 1 2 y 2 H ̂ subject to Tr W W H ≤ γP.
This is done for a networked system with an operator, who manages the system, and a finite number of users, by solving the problem of minimizing the sum of the operator's and users' nondifferentiable, convex objective functions over the intersection of the operator's and users' convex constraint sets in a real Hilbert space.
However, for a given L, the optimal coprime pair in terms of total number of sensors can be derived by solving the optimization problem: Minimize M + N subject to MN = L M > 0 N > 0 (1).
Any such hyperplane (w, b) that separates the data leads to the function: (2) f (x ) = sign (w · x + b ) The hyperplane is found by solving the following problem: Minimize J = 1 2 ∥ w ∥ 2 ; subject to y i (w· x i + b −1≥0, where i=1,…, l.
Each BS n ∈ N updates the local variables ( M n i + 1, x n i + 1, α n i + 1 ) by solving the following optimization problem minimize - α n N + I n ( M n, x n, α n ) + u n iT ( x n - z n i ) + v n i ( α n - γ i ) + ρ 2 ∥ x n - z n i ∥ 2 2 + ρ 2 ( α n - γ i ) 2, (40).
In our two-stage FBA method, such medication strategy is found by solving the medication model which minimizes the side effects.
The reachable set of system (1) can be minimized by solving the following optimization problem for a scalar (delta>0): begin{aligned} &min bar{delta}quad biggl(bar{delta}= frac{1}{delta}biggr) &mbox{s.t.} begin{cases} (mathrm{a}) &Pgeqdelta I, (mathrm{b}) &(6 mbox 7)mbox{ or }(22 mbox(23) mbox{ or }(26 mbox(26 mbox
Secondly, the optimal formation-flying trajectory is obtained to minimize the mission time by solving the established optimization model for maximizing the minimum monitoring profit of all GEO satellites.
For each point (varvec{lambda }[k]), each MG minimizes its contribution to the Lagrangian function by solving the local subproblem (27) and determining the minimum point.
Reconstruction of the distribution of μ a is carried out by minimizing the residual error between the measured MTF data and the MTF data calculated by solving the forward problem.
