29 citations · 60 across the 28 of their papers we have counts for
22 papers · 1 filter
The intrinsic core and minimal faces of convex sets in general vector spaces
R. Díaz Millán, Vera Roshchina
Intrinsic core generalises the finite-dimensional notion of the relative interior to arbitrary (real) vector spaces. Our main goal is to provide a self-contained overview of the ke…
Hyperbolicity cones are amenable
Bruno F. Lourenço, Vera Roshchina, James Saunderson
Amenability is a notion of facial exposedness for convex cones that is stronger than being facially dual complete (or "nice") which is, in turn, stronger than merely being facially…
Amenable cones are particularly nice
Bruno F. Lourenço, Vera Roshchina, James Saunderson
Amenability is a geometric property of convex cones that is stronger than facial exposedness and assists in the study of error bounds for conic feasibility problems. In this paper…
Uniqueness of solutions in multivariate Chebyshev approximation problems
Vera Roshchina, Nadia Sukhorukova, Julien Ugon
We study the solution set to multivariate Chebyshev approximation problem, focussing on the ill-posed case when the uniqueness of solutions can not be established via strict polyno…
Projection Algorithms for Finite Sum Constrained Optimization
Hong-Kun Xu, Vera Roshchina
Parallel and cyclic projection algorithms are proposed for minimizing the sum of a finite family of convex functions over the intersection of a finite family of closed convex subse…
Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
R. Díaz Millán, Scott B. Lindstrom, Vera Roshchina
We focus on the convergence analysis of averaged relaxations of cutters, specifically for variants that---depending upon how parameters are chosen---resemble \emph{alternating proj…