Lagrange multipliers

GPTKB entity
AI-created image of Lagrange multipliers
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Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo functions with constraints
gptkbp:category mathematical analysis
optimization theory
gptkbp:formulatedAs gptkb:system_of_equations
gptkbp:generalizes unconstrained optimization
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 gptkb:mathematical_optimization
calculus
economics
engineering
physics
constrained optimization
gptkbp:yield necessary conditions for extrema
gptkbp:bfsParent gptkb:Joseph-Louis_Lagrange
gptkb:arithmetic-geometric_mean_inequality
gptkbp:bfsLayer 5
https://www.w3.org/2000/01/rdf-schema#label Lagrange multipliers