We construct examples of Lipschitz continuous functions, with pathological subgradient dynamics in both continuous and discrete time. In both settings, the iterates generate bounded trajectories and yet fail to detect any (generalized) critical points of the function.
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Patrocinador
dc.description.sponsorship
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT
1171854
Spanish Government
PGC2018-097960-B-C22
European Union (EU)
PGC2018-097960-B-C22
National Science Foundation (NSF)
DMS 1651851
CCF 1740551
CMM-AFB170001