Gap Inequalities for the Max-Cut Problem: a

... Next, we briefly mention some additional algorithmic ideas that we have developed. The first of these has already proven to be extremely useful. We are still experimenting with the other three. Primal stabilisation A pure LP-based cutting-plane algorithm based on gap inequalities suffers from the ta ...

... Next, we briefly mention some additional algorithmic ideas that we have developed. The first of these has already proven to be extremely useful. We are still experimenting with the other three. Primal stabilisation A pure LP-based cutting-plane algorithm based on gap inequalities suffers from the ta ...

On a recursive formulation for solving inverse form finding problems

... using an update of the reference configuration. This proposal allows to avoid mesh distortions but leads to large computational costs. Germain, 2011 and 2012 [20,21] compared the inverse mechanical and the shape optimisation formulation in terms of computational costs and accuracy of the obtained un ...

... using an update of the reference configuration. This proposal allows to avoid mesh distortions but leads to large computational costs. Germain, 2011 and 2012 [20,21] compared the inverse mechanical and the shape optimisation formulation in terms of computational costs and accuracy of the obtained un ...

# Simplex algorithm

In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming. The journal Computing in Science and Engineering listed it as one of the top 10 algorithms of the twentieth century.The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial cones, and these become proper simplices with an additional constraint. The simplicial cones in question are the corners (i.e., the neighborhoods of the vertices) of a geometric object called a polytope. The shape of this polytope is defined by the constraints applied to the objective function.