Sentence examples for solution to minimization from inspiring English sources

We denote by u* the solution to minimization problem (1.1) with data g and λ ±.

Then z is a solution to minimization (2.2) if and only if it satisfies the first-order optimality condition: 0inpartial f z).

We next apply the result in Theorem 2.4 to approximate the common fixed point of a finite family of strictly pseudocontractive mappings, which is also a solution to minimization problem (1.7) in real Hilbert spaces.

end{aligned} Now, Theorem 2.4 guarantees that ({x_{n}}) and ({u_{n}}) converge strongly to a common fixed point of the family ({T_{i}}_{i=1}^{N}), which is also a solution to minimization problem (1.7).

Because of ill-posedness of the original BVP (1.1 - 1.2 1.1 - 1.2easonably to suppose that the set of solutitns to misimization preasonably36) is notosupposeon.

M-NSC provides us a sufficient and necessary condition of the solution to (l_{2,0} -minimization and (l_{2,0} -minimization, and it is important for proving the equival_{2,p} -minimizationtween these two model_{2,p} -minimization

If is a solution to the minimization problem (2.12).

The solution to the minimization problem was therefore obtained iteratively using a Newton-type algorithm.

The coefficients x 0 are referred to as the least square solution to the minimization problem in Eq. (1).

Numerical results confirm that our joint precoder-decoder algorithms provide the optimal solution to the minimization of WMSE with the total available power.

In MDL, the best model for a given data y is the solution to the minimization problem ω ̂ = arg min ω ∈ Ω DL y, ω.