Lagrangian

Lagrangian may refer to:

Mathematics

Lagrangian function, used to solve constrained minimization problems in optimization theory; see Lagrange multiplier
- Lagrangian relaxation, the method of approximating a difficult constrained problem with an easier problem having an enlarged feasible set
- Lagrangian dual problem, the problem of maximizing the value of the Lagrangian function, in terms of the Lagrange-multiplier variable; See Dual problem
Lagrangian, a functional whose extrema are to be determined in the calculus of variations
Lagrangian submanifold, a class of submanifolds in symplectic geometry
Lagrangian system, a pair consisting of a smooth fiber bundle and a Lagrangian density

Lagrangian mechanics, a formulation of classical mechanics
Lagrangian (field theory), a formalism in classical field theory
Lagrangian point, a position in an orbital configuration of two large bodies
Lagrangian coordinates, a way of describing the motions of particles of a solid or fluid in continuum mechanics
Lagrangian coherent structure, distinguished surfaces of trajectories in a dynamical system