Sentence examples for smooth penalty from inspiring English sources

On the other hand, a traditional smooth penalty function like the quadratic penalty function cannot be an exact one.

In Section 3, we present an algorithm to compute an approximate solution to [P] based on the smooth penalty function and show that it is globally convergent.

A convex programming problem is solved, on-line, by reformulating the problem in terms of a piecewise smooth penalty function, and relying on a suitable analog variable structure system implementing the gradient procedure.

A new method for objectively evaluating BG deviations from normoglycemia was founded on a smooth penalty function.

It is the average of all penalties that are individually assigned to each measured BG value based on an optimized smooth penalty function.

The GPI of a patient is the average of all penalties that are individually assigned to each measured BG value based on the optimized smooth penalty function.

We develop an algorithm based on the smoothed penalty function.

We prove that the algorithm based on the smoothed penalty functions is convergent under mild conditions.

The error estimates are obtained among the optimal objective function values of the smoothed penalty problem, the nonsmooth penalty problem and the original problem.

We prove that an approximation global solution of the original problem can be obtained by searching a global solution of the smoothed penalty problem.

In this paper, motivated by the smoothed penalty function for constrained optimization [14], we construct a new smoothing function for nonlinear inequalities, and thus we can approximate the nonsmooth system of transformed equations by a system of smooth equations.