291 citations
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math.OC2024
Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity
Ba Khiet Le, Michel Théra
The paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity and calmness. We show that…
math.OC2024
Certifying solutions of degenerate semidefinite programs
Vladimir Kolmogorov, Simone Naldi, Jeferson Zapata
This paper deals with the algorithmic aspects of solving feasibility problems of semidefinite programming (SDP), aka linear matrix inequalities (LMI). Since in some SDP instances a…
math.OC2023
Convergence in nonlinear optimal sampled-data control problems
Loïc Bourdin, Emmanuel Trélat
Consider, on the one part, a general nonlinear finite-dimensional optimal control problem and assume that it has a unique solution whose state is denoted by . On the other par…