Analysis reveals stability theorem for saddle points, indicating essential conditions and generalizations.
The stability of saddle points is studied. A stability theorem is proved and examples showing that its assumptions are essential are presented. Generalizations of the stability theorem are obtained. The notion of a generalized saddle point is discussed, and properties and stability of such points are studied.
No takes yet. Share an insight, caveat, or question.
Arutyunov et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: