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Mathematical optimization[edit]

Category
Mathematical optimization
Calculus of variations
Energy minimization
Mathematical optimization
Optimal design
Response surface methodology
2-opt
3-opt
Active set
Adaptive projected subgradient method
Adaptive simulated annealing
AIMMS
Algebraic modeling language
AMPL
SAMPL
Analytica (software)
APMonitor
APOPT
Backtracking line search
Backward induction
Barrier function
Basis pursuit
Basis pursuit denoising
Bayesian efficiency
Bellman equation
Benders' decomposition
Biconvex optimization
Bilevel optimization
Bilinear program
Binary constraint
Binding constraint
Bregman method
Cake number
Candidate solution
Central composite design
Chebyshev center
Combinatorial data analysis
Complementarity theory
Compressed sensing
Conic optimization
Constrained optimization
Constraint (mathematics)
Continuous optimization
Convex analysis
Convex optimization
Corner solution
Danskin's theorem
Dantzig–Wolfe decomposition
Dead-end elimination
Demand optimization
Descent direction
Differential evolution
Discrete optimization
Distributed constraint optimization
DNSS point
Dual cone and polar cone
Duality (optimization)
Duality gap
Dynamic programming
Entropy maximization
Extended newsvendor model
Farkas' lemma
Feasible region
Fenchel's duality theorem
Fractional programming
Fritz John conditions
Gene expression programming
Genetic algorithm
Genetic programming
Geometric median
Geometric programming
Global optimization
Global optimum
Goal programming
Guess value
Hardness of approximation
Highly optimized tolerance
Hilbert basis (linear programming)
Himmelblau's function
Homicidal chauffeur problem
Hyper-heuristic
Hyperparameter optimization
In-crowd algorithm
Infinite-dimensional optimization
Interval contractor
Inventory control problem
Iterated conditional modes
Jeep problem
Job shop scheduling
Job-shop problem
Karush–Kuhn–Tucker conditions
Klee–Minty cube
Lagrange multiplier
Lagrange multipliers on Banach spaces
Lagrangian relaxation
Lazy caterer's sequence
Least absolute deviations
Least squares
Lemke's algorithm
Level set method
Line search
Linear complementarity problem
Linear matrix inequality
Linear programming decoding
Linear search problem
Linear-fractional programming
Lloyd's algorithm
Local optimum
Low-rank approximation
Mathematical Optimization Society
Mathematical programming with equilibrium constraints
Mathematics of Operations Research
Matheuristics
Maxima and minima
Maximum theorem
MCACEA
Mean field annealing
Meta-optimization
Metaheuristic
Mixed complementarity problem
Mixed linear complementarity problem
MOEA Framework
Moving least squares
MPS (format)
Multi-objective optimization
Multidisciplinary design optimization
Multiprocessor scheduling
Nearest neighbor search
Newsvendor model
Nl (format)
No free lunch in search and optimization
Non-binding constraint
Non-linear least squares
Nonlinear complementarity problem
Nonlinear programming
NP-complete
Odds algorithm
Open-shop scheduling
Operations research
Optimal control
Optimal stopping
Optimal substructure
Ordinal optimization
P versus NP problem
Paper bag problem
Paradiseo
Parallel metaheuristic
Pareto efficiency
Pattern search (optimization)
Perturbation function
Pontryagin's minimum principle
Posynomial
Probabilistic-based design optimization
Process optimization
Pseudo-Boolean function
Pseudoconvex function
Quadratic programming
Quadratically constrained quadratic program
Quasiconvex function
Random optimization
Rastrigin function
Recursive economics
Reduced cost
Relaxation (approximation)
Robbins' problem
Robust optimization
Rosenbrock function
RTCP hierarchical aggregation
Second-order cone programming
Self-concordant function
Semi-continuity
Semidefinite programming
Shape optimization
Shekel function
Signomial
Single-machine scheduling
Sion's minimax theorem
Slack variable
Slater's condition
Smoothed analysis
Sol (format)
Special ordered set
Starmad
Steiner's problem
Stigler diet
Stochastic programming
Stress majorization
Strong duality
Subderivative
Subgradient method
Successive linear programming
Sum-of-squares optimization
Ternary search
Test functions for optimization
Topological derivative
Topology optimization
Total dual integrality
Trajectory optimization
Trust region
Variational Monte Carlo
Vector optimization
Wald's maximin model
Walrasian auction
Weak duality
Wing-shape optimization
Wolfe conditions
Wolfe duality
Category
Convex analysis
Bipolar theorem
Characteristic function (convex analysis)
Closed convex function
Complex convexity
Concave function
Convex cone
Convex conjugate
Convex function
Convex hull
Convex set
Dieudonné's theorem
Effective domain
Ekeland's variational principle
Epigraph (mathematics)
Fenchel–Moreau theorem
Gauss–Lucas theorem
Hilbert projection theorem
Hypograph (mathematics)
Invex function
Jensen's inequality
Kachurovskii's theorem
Karamata's inequality
Legendre transformation
Linear separability
Logarithmically concave function
Minkowski functional
Minkowski's theorem
Modulus and characteristic of convexity
Moreau's theorem
Polyconvex function
Popoviciu's inequality
Proper convex function
Recession cone
R. Tyrrell Rockafellar
Schur-convex function
Shephard's problem
Strictly convex space
Tonelli's theorem (functional analysis)
Uniformly convex space
Uniformly smooth space
Category
Convex optimization
Ellipsoid method
Geodesic convexity
Linear programming
Category
Mathematical optimization software
List of optimization software
ASCEND
ASTOS
BARON
CasADi
COIN-OR
Concorde TSP Solver
Coopr
CPLEX
CUTEr
DIDO (software)
EasyLocal++
EMSO simulator
FortMP
FortSP
Galahad library
GAUSS (software)
General Algebraic Modeling System
GNU Linear Programming Kit
Gurobi
Investigative Optimization Library
IOSO
IPOPT
JModelica.org
JOptimizer
KNITRO
LIONsolver
MapleSim
Mathematica
MCSim
MINOS (optimization software)
MINTO
MOSEK
NMath
OpenOpt
OPL Development Studio
OptaPlanner
Optimization Toolbox
OptimJ
Optimus platform
PENOPT
PROPT
SCIP (optimization software)
SmartDO
SNOPT
TOMLAB
TOMNET
TomSym
TOMVIEW
WORHP
Category
Optimal control
Ross' π lemma
Algebraic Riccati equation
Bang–bang control
Caratheodory-π solution
Costate equations
Covector mapping principle
Gauss pseudospectral method
Hamilton–Jacobi–Bellman equation
Hamiltonian (control theory)
Legendre–Clebsch condition
Linear-quadratic regulator
Linear-quadratic-Gaussian control
Optimal projection equations
Bellman pseudospectral method
Chebyshev pseudospectral method
Flat pseudospectral method
Legendre pseudospectral method
Pseudospectral knotting method
Pseudospectral optimal control
Ross–Fahroo lemma
Ross–Fahroo pseudospectral method
Sethi model
Category
Optimization in vector spaces
Generalized semi-infinite programming
Kantorovich theorem
Moment problem
Semi-infinite programming
Transportation theory (mathematics)
Category
Calculus of variations
Variational principle
Action (physics)
Applications of the calculus of variations
Beltrami identity
Bounded variation
Brunn–Minkowski theorem
Caccioppoli set
Chaplygin problem
De Donder–Weyl theory
Direct method in the calculus of variations
Dirichlet's energy
Dirichlet's principle
Energy principles in structural mechanics
Envelope theorem
Euler–Lagrange equation
Fermat's principle
First variation
Functional derivative
Fundamental lemma of calculus of variations
Γ-convergence
Geodesics on an ellipsoid
Geometric analysis
Hamilton's principle
Hilbert's nineteenth problem
History of variational principles in physics
Hu Washizu principle
Inverse problem for Lagrangian mechanics
Isoperimetric inequality
Lagrangian system
List of variational topics
Malliavin calculus
Maupertuis' principle
Minkowski's first inequality for convex bodies
Minkowski–Steiner formula
Morse–Palais lemma
Mosco convergence
Mountain pass theorem
Nehari manifold
Noether identities
Noether's second theorem
Noether's theorem
Obstacle problem
Palais–Smale compactness condition
Path of least resistance
Plateau's problem
Principle of least action
Pseudo-monotone operator
Regularized canonical correlation analysis
Saint-Venant's theorem
Signorini problem
Transversality (mathematics)
Variational bicomplex
Variational inequality
Variational vector field
Weierstrass–Erdmann condition