Sentence examples for penalty methods from inspiring English sources

Other important algorithmic approaches include sequential quadratic programming, in which an approximate problem with a quadratic objective and linear constraints is solved to obtain each search step; and penalty methods, including the "method of multipliers," in which points that do not satisfy the constraints incur penalty terms in the objective to discourage algorithms from visiting them.

Penalty methods are used here for dealing with constraints.

Standard constraint algorithms include penalty methods, Lagrange multiplier methods and combinations thereof.

Brenner and Sung [14] analyzed the (C^{0}) interior penalty methods on polygonal domains using the Lagrange finite element.

For example, sequential quadratic programming methods, trust region approaches [1], penalty methods and interior point methods [2].

There are several techniques to enforcing essential boundary conditions in meshless methods, such as the use of penalty methods, Lagrange multipliers and modified variational principles, etc.

The diffusion terms are treated with a penalty method.

The contact conditions are insured by a penalty method.

Exterior penalty method is exploited for the constrained minimization procedure.

Recent techniques of dynamic penalty, specifically adaptive penalty method are incorporated into the algorithms.

The proposed method estimates the optimal result of α by using the penalty method [27].