Lagrangian constrained optimization can oscillate above and below the cost constraint as its multiplier adjusts.

“This works, but then you have the problem of also this oscillation, right? We effectively you you go down and you oscillate around because you basically you're below the cost because your your Lagrangian was slightly too large. Then uh you're very safe. So the G Lagrangian drops and you go above and you go below and so on. It's like you have this this big or small oscillations.”