3 papers
math.OC2026
Projected Subgradient Methods for a Class of Nonsmooth and Nonconvex Optimization Problems
Christian Kanzow, Jannis Krüger, Leo Lehmann
We investigate the optimization problem of minimizing a nonsmooth function that satisfies a nonsmooth version of the descent lemma over a nonempty and closed but not necessarily co…
math.OC2026
A Nonmonotone Descent Method for Optimization Problems Defined by Upper- Functions over Submanifolds
Christian Kanzow, Leo Lehmann
We consider the optimization problem of minimizing a nonsmooth function characterized by a nonsmooth formulation of the descent lemma over a manifold. In the unconstrained case ove…
math.OC2024
Convergence of Nonmonotone Proximal Gradient Methods under the Kurdyka-Lojasiewicz Property without a Global Lipschitz Assumption
Christian Kanzow, Leo Lehmann
We consider the composite minimization problem with the objective function being the sum of a continuously differentiable and a merely lower semicontinuous and extended-valued func…