Lagrange multipliers

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo functions with constraints
gptkbp:category mathematical analysis
optimization theory
gptkbp:formulatedAs system of equations
gptkbp:generalizes unconstrained optimization
https://www.w3.org/2000/01/rdf-schema#label Lagrange multipliers
gptkbp:introducedIn 18th century
gptkbp:namedAfter gptkb:Joseph-Louis_Lagrange
gptkbp:relatedTo gptkb:Karush-Kuhn-Tucker_conditions
dual variables
method of undetermined multipliers
gptkbp:requires differentiable functions
gptkbp:solvedBy finding extrema of functions subject to constraints
gptkbp:usedIn calculus
economics
engineering
physics
mathematical optimization
constrained optimization
gptkbp:yield necessary conditions for extrema
gptkbp:bfsParent gptkb:Joseph-Louis_Lagrange
gptkb:rate-distortion_theory
gptkb:Joseph_Louis_Lagrange
gptkb:Analytical_mechanics
gptkb:Optimization_theory
gptkb:arithmetic-geometric_mean_inequality
gptkbp:bfsLayer 5