Rank optimality for the Burer-Monteiro factorization

In the paper we propose an algorithm for nding approximate sparse solutions of convex optimization problem with conic constraints and examine convergence properties of the

Indeed, in Escherichia coli, resistance to nonbiocidal antibio fi lm polysaccharides is rare and requires numerous mutations that signi fi cantly alter the surface

Keywords: Stochastic algorithms, simulated annealing, homogenization, probability mea- sures on compact Riemannian manifolds, intrinsic p-means, instantaneous invariant measures,

When the algorithm stops at either an approximate local minimizer or a saddle point, our method starts its “inspection” phase, which either moves to a strictly better point or

The advantage of the PAL algorithm is that the dimension of the resulting linear eigenvalue prob- lem is only n C `m, which is generally substantially smaller than the dimension 2n

Our goal is, on one hand, to write down explicit first and second order optimality conditions for general 2-dimensional shape optimization problems with convexity con- straint and,

On a classical problem of the calculus of variations without convexity assumptions.. Annales

A BSTRACT - The list of the finite abelian groups that cannot be factored into two of its subsets without one factor being periodic is the same as the list of the finite abelian