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

Physics Lagrangian mechanics, a formulation of classical mechanics Lagrangian (mechanics), a fundamental function of this formulation 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

See also Joseph-Louis Lagrange (1736–1813), Italian mathematician and astronomer Lagrange (disambiguation) List of things named after Joseph-Louis Lagrange