Sentence examples for barrier terms from inspiring English sources

It is traditionally constructed to solve nonlinear programs by augmenting the objective function or a corresponding Lagrange function some penalty or barrier terms with respect of the constraints.

Patients' actual adherence on a given day was assumed to vary around their own average adherence level, according to random variation in the relevant α(barrier) terms, with each day's value for each patient drawn from a Gaussian distribution with a mean of 0.65 and a standard deviation of 0.30.

Given that all three α(barrier) terms = 0.65, the baseline adherence rate for the overall sample of simulated patients was in this range, i.e., 57 % or the average of 65%% for the 20 patients with only doubts about their disease's severity, 65%% for the 20 patients with only medication belief concerns, and 42.25 % for the 20 patients with both disease belief as well as forgetfulness problems.

Note that when the parameter in the barrier term grows, the barrier function grows faster when t approaches zero.

Motivated by this, we consider a parametric version of the kernel function in [14] with parameters in the barrier term of the kernel function.

Ghami et al. [11] proposed IPM for an LO problem based on a kernel function whose barrier term is a trigonometric function.

Motivated by this, we introduce a parameter in the barrier term of the kernel function in [14] and obtained the best known complexity result for large-update methods for all parameters.

Cho et al. [12] defined a new kernel function, whose barrier term is the exponential power of the exponential function for LO problems, and obtained the best known iteration bounds for large- and small-update methods.

In this paper we propose new classes of kernel functions whose form is different from known kernel functions and define interior-point methods (IPMs) based on these functions whose barrier term is exponential power of exponential functions for P ∗ -horizontal linear complementarity problems (HLCPs).

The pit pattern on the surface is included in the model defining regularly spaced square areas on the reference lattice, each corresponding to a pit, associated with an extra barrier term E P (x, y) with gaussian profile, as shown in Fig. 1b.

Motivated by these works, we introduce new classes of eligible kernel functions, which are different from known kernel functions in [3, 6, 7] and have the exponential power of exponential barrier term, and propose a complexity analysis of the IPMs for P ∗ -HLCP based on these kernel functions.