|
|
|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
Lagrange multipliers on manifolds
|
(Topic)
|
|
| ProofOfLagrangeMultiplierMethodOnManifolds |
"Lagrange multipliers on manifolds" is owned by stevecheng.
|
|
(view preamble | get metadata)
See Also: manifold
| Keywords: |
manifold, Lagrange multiplier, Lagrangian multiplier |
This object's parent.
|
|
Cross-references: implication, converse, continuous, annihilated subspace, neighborhood, extremum, first order, Taylor expansion, stationary points, objective function, substitution, applications, weights, sum, near, infinitesimals, theory, Riemannian metric, inner product, surfaces, normals, spanned by, perpendicular, intersection, normal vector, hyperplane, tangent, hypersurface, interpretations, orthogonal complement, hypothesis, scalar, entire, orthogonal, span, column vectors, columns, tangent space, directional derivatives, chain rule, derivative, Euclidean space, without loss of generality, structure, open set, smooth, implicit function theorem, solution, row, Euclidean, list vector, projections, obvious, kernel, pullback, image, linear transformation, linear algebra, linear combination, basis, annihilator, subspace, vanishes, equation, isomorphism, coordinate chart, open, dimension, embedded submanifold, components, coordinates, expression, matrix, transpose, finite-dimensional, infinite-dimensional, vector space, dual space, lives, isomorphic, rank, Jacobian matrix, vector, surjective, tangent map, vector-valued function, functions, formula, 1-form, equivalent, differential forms, gradients, terms, conclusion, theorem, Calculus, exterior derivative, local minimum, point, linearly independent, continuously differentiable, boundary, differentiable manifold, proofs, Lagrange multiplier method
This is version 21 of Lagrange multipliers on manifolds, born on 2005-07-27, modified 2007-07-08.
Object id is 7276, canonical name is ProofOfLagrangeMultiplierMethodOnManifolds.
Accessed 4109 times total.
Classification:
| AMS MSC: | 49-00 (Calculus of variations and optimal control; optimization :: General reference works ) | | | 58C05 (Global analysis, analysis on manifolds :: Calculus on manifolds; nonlinear operators :: Real-valued functions) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
