Sentence examples for bundles method from inspiring English sources

In this paper we apply photometric field theory and elliptic ray bundles method to study 3D asymmetric – without rotational or translational symmetry – concentrators, which can be useful components for nontracking solar applications.

We introduce a novel random gradient bundle method for approximating local minimizers, motivated by recent work on non-smooth analysis of the function α(X).

Since the bi-level signal control problem is generally a non-convex program, a bundle method using generalized gradients is proposed.

Then the limited memory bundle method [Haarala et.al. Math. Prog., Vol. 109, No. 1, pp. 181 205, 2007] is modified and combined with an incremental approach to design a new clustering algorithm.

We solve the dual problem with a bundle method.

3, we present the alternating linearization bundle method for problem (1).

This bundling method is consistent with the previous literature (Douglas et al. 1996; Gierl 2005).

Due to the auxiliary problem principle Cohen [15], Salmon et al. [16] developed a bundle method for solving the problem (1.1).

However, we have observed in [9] that a feasible descent bundle method for solving inequality constrained minimax problems is proposed, by using the subgradients of functions, the idea of bundle method and the technique of partial cutting planes model, to generate the new cutting plane and aggregate the subgradients in the bundle, so the difficulty of numerical calculation and storage is overcome.

In this paper, we propose an alternating linearization bundle method for minimizing the sum of a nonconvex function and a convex function, both of which are not necessarily differentiable.

In particular, Kiwiel [9] proposed an alternating linearization bundle method for the sum of two convex functions and one of them is "simple" (i.e., minimizing this function plus a separable convex quadratic function is "easy").