APX-Hardness of Computing Lipschitz Constants for Multi-Parametric Quadratic Programs
Advanced Manufacturing
Summary
arXiv:2606.03862v1 Announce Type: new Abstract: Computing the Lipschitz constant of the solution map of a multi-parametric quadratic program is important for the analysis of optimization-based control. This problem is governed by three factors: the parameter dimension, the number of decision variables, and the number of constraints. While empirical evidence has long suggested exponential complexity, a rigorous complexity-theoretic proof has been lacking.
Why It Matters
This Advanced Manufacturing development raises the bar for precision and smart-factory capability in the region. For Asia, it is a signal worth tracking: it shapes who supplies, who scales, and who sets the standard over the next five years.
Key Facts
- SectorAdvanced Manufacturing
- Market—
- ImpactLow (42/100)
- SignalResearch