2 papers
math.OC2025
Constraint Qualification for Generic Parameter Families of Constraints in Optimization
Naoki Hamada, Kenta Hayano, Hiroshi Teramoto
Constraint qualifications (CQs) are central to the local analysis of constrained optimization. In this paper, we completely determine the validity of the four classical CQs -- LICQ…
math.GT2024
Characterization of generic parameter families of constraint mappings in optimization
Naoki Hamada, Kenta Hayano, Hiroshi Teramoto
The purpose of this paper is to understand generic behavior of constraint functions in optimization problems relying on singularity theory of smooth mappings. To this end, we will…