This paper is devoted to the study of optimal solutions of symmetric coneprograms by means of the asymptotic behavior of central paths with respect to a broadclass of barrier functions. This class is, for instance, larger ...

This paper is devoted to the study of a bundle proximal-type algorithm for solving the problem of minimizing a nonsmooth closed proper convex function subject to symmetric cone constraints, which include the positive orthant ...

Let C be a smooth curve which is complete intersection of a quadric and a degree k > 2 surface in P-3 and let C-(2) be its second symmetric power. In this paper we study the finite generation of the extended canonical ring ...

We show that the Poisson maximal operator for the tube over the light-cone, P*, is bounded in the weighted space L p (w) if and only if the weight w(x) belongs to the Muckenhoupt class A p . We also characterize with a ...