Lagrangian may refer to:
Mathematics
* Lagrangian function, used to solve constrained minimization problems in optimization theory; see
Lagrange multiplier
**
Lagrangian relaxation In the field of mathematical optimization, Lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization
In mathematical optimization, constrained optimization (in some contexts called constraint ...
, 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
The calculus of variations (or Variational Calculus) is a field of mathematical analysis that uses variations, which are small changes in functions
and functionals, to find maxima and minima of functionals: mappings from a set of functions t ...
*
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 reformulation of classical mechanics
*
Lagrangian (field theory), a formalism in classical field theory
*
Lagrangian point
In celestial mechanics, the Lagrange points (; also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the influence of two massive orbiting bodies. Mathematically, this involves the solution of th ...
, 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
Joseph-Louis Lagrange (born Giuseppe Luigi Lagrangia[Lagrange (disambiguation) Lagrange or La Grange may refer to:
Mathematics and physics
* Lagrange multiplier, a mathematical technique
* Lagrange's theorem (group theory), or Lagrange's lemma, an important result in Group theory
* Lagrange's theorem (number theory), about ...](_blank)
*
List of things named after Joseph-Louis Lagrange
Several concepts from mathematics and physics are named after the mathematician and astronomer Joseph-Louis Lagrange, as are a crater on the moon and a street in Paris.
Lagrangian
* Lagrangian analysis
*Lagrangian coordinates
* Lagrangian deri ...
{{Disambiguation, maths