3 papers
math.OC2024
Stationarity in nonsmooth optimization between geometrical motivation and topological relevance
Vladimir Shikhman
The goal of this paper is to compare alternative stationarity notions in structured nonsmooth optimization (SNO). Here, nonsmoothness is caused by complementarity, vanishing, ortho…
math.OC2021
Optimality conditions for mathematical programs with orthogonality type constraints
Sebastian Lämmel, Vladimir Shikhman
We consider the class of mathematical programs with orthogonality type constraints (MPOC). Orthogonality type constraints appear by reformulating the sparsity constraint via auxili…
math.OC2020
Critical point theory for sparse recovery
Sebastian Lämmel, Vladimir Shikhman
We study the problem of sparse recovery in the context of compressed sensing. This is to minimize the sensing error of linear measurements by sparse vectors with at most non-ze…