The study of Lagrangian dynamics has long served as a cornerstone in theoretical physics, providing an elegant formulation for the equations of motion across diverse systems. Recent advances have ...

Abstract A new characterization of the exact minimax penalty function method is presented. The exactness of the penalization for the exact minimax penalty function method is analyzed in the context of ...

One course in optimization (including primal, dual problems, Lagrangian functions), linear algebra, calculus, familiar with real analysis or permission of instructor. Large-scale networks and datasets ...

Shake-The-Box (STB) is a novel time-resolved 3D Lagrangian particle tracking method for measuring densely seeded flows. The STB algorithm has been developed at the department of Experimental Methods ...

where f is the objective function and the m c i 's are the constraint functions. A point x is feasible if it satisfies all the constraints. The feasible region G is the set of all the feasible points.