Sentence examples for the decent method from inspiring English sources

Some important existing solution approaches such as the extreme point search, the procedure based on the Karush-Kuhn Tucker condition, and the decent method (Anandilingam 1988Anandilingam and Apprey 1991Biswas and Pal 2005Bellmann 1957Charnes and Cooper 1962Craven and Mond 1975Lai 1996) are effective only for solving simple types of multilevel programming problems.

In the process of improving the composite materials, the researchers have identified hybridization as one of the decent methods for achieving better and tailored properties for the composite materials.

Second derivative information is used to speed up convergence: The LMM varies smoothly between the inverse-Hessian method and the steepest decent method depending on the topology of the metric [18].

Minimizing the energy functional (21) by the gradient decent method, we obtain the partial differential equation for ϕ as follows: ∂ ϕ ∂ t = δ ε ϕ − I − m 1 2 + I − m 2 2 + v div ∇ ϕ ∇ ϕ + λ ∇ 2 ϕ − div ∇ ϕ ∇ ϕ (22).

Among the usual optimization algorithms, such as the direct decent method and conjugate gradient method, the convergence rate of Newton iterations near the solution is the fastest (see [15]).

In the isotropic case, the equation u t = div ( ∂ ξ f ( D u ) ) becomes u t = div ( D u | D u | ) when the Lagrangian f : R N → [ 0, + ∞ ] is given by f = ∥ ξ ∥, where ∥ ξ ∥ is the usual l 2 -norm; i.e., ∥ ξ ∥ : = ( ∑ i = 1 N ξ i 2 ) 1 2. Let us recall that this PDE appears when one uses the steepest decent method to minimize the total variation.

Now the minimization of the Tikhonov functional is performed using the steepest decent method.

Based on this mathematical model, the steepest decent method is used to search for the optimal process parameters.

The functional (18) can be minimized for each fixed α by the steepest decent method.

When the solution is close to the correct one, the Gauss Newton method is applied to the training because it is more accurate and faster near an error minimum than the gradient decent method.

This problem is solved again through the gradient decent method.