3 papers
math.OC2026
Nonmonotone subgradient methods based on a local descent lemma
Francisco J. Aragón-Artacho, Rubén Campoy, Pedro Pérez-Aros +1
In this paper we present a nonmonotone line search subgradient algorithm tailored to upper- functions. This is a family of nonsmooth and nonconvex functions that sat…
math.OC2026
Graph splitting methods: Fixed points and strong convergence for linear subspaces
Francisco J. Aragón-Artacho, Heinz H. Bauschke, Rubén Campoy +1
In this paper, we develop a general analysis for the fixed points of the operators defining the graph splitting methods from [SIAM J. Optim., 34 (2024), pp. 1569-1594] by Bredies,…
math.NA2026
A comparative numerical study of graph-based splitting algorithms for linear subspaces
Francisco J. Aragón-Artacho, Rubén Campoy, Irene López-Larios +1
In this note, we test the performance of six algorithms from the family of graph-based splitting methods [SIAM J. Optim., 34 (2024), pp. 1569-1594] specialized to normal cones of l…