Sentence examples for regularized problem for from inspiring English sources

It is shown how to choose a dimension of discrete regularized problem for the given data error bounds to obtain a convergence.

On the other hand, different from that in the case of the Dirichlet boundary value condition, the standard regularized problem of problem (1.1 - 1.3 1.1 - 1.3ell posed, and thus a modisied regularized problem for (1.1)-(1.3) is conotdered.

We used eSS2 to solve the regularized problem for each case study, finding a narrower spread of the convergence curves.

In Section 2, we review some preliminaries concerning the variable exponent Sobolev spaces and introduce a family of regularized problems for problem (1.1).

The regularized problem of fixed point for T is the fixed point problem for T t f.

Theorem 3.1 (Regularity) Let θ 0 ∈ Ḣ m , m ≥ 1, α = 1, then the solution for the regularized problem of quasi-geostrophic equation exists a solution θ ( t ) ∈ C ( ( 0, + ∞ ), Ḣ m ).

In order to avoid this fact, we introduce the regularized problem of finding such that (7).

Next we prove that, for the regularized problem, we have stable dependence of the data.

Combining the results of Sections 3 and 4 we get rates of convergence for the regularized problem (3 -(4).

Moreover, if u ϵ η ≠ 0, then u ϵ η > 0 in Q T. In what follows, we prove a lower bound for the regularized problem.

The reconstruction problem is thus formulated as a LAD ℓ 1 regularized problem (ℓ 1-LAD) whose theoretical properties for statistical regression are studied in [20].