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Quadratic programming

Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks to optimize (minimize or maximize) a multivariate quadratic function subject to linear constraints on the variables. Quadratic programming is a type of nonlinear programming.

Problem formulation, Solution methods & Run-time complexity

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Overview

Problem formulation

Solution methods

Lagrangian duality

Run-time complexity

Mixed-integer quadratic programming

Extensions

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Quadratic programming

Nodes48
Edges47
Triples88
Avg. degree1.96
Density0.041667
Components1

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Quadratic programming

Top relations

related to Further reading · 35
Quadratic programming → A6, Academic Press, Archived, Boston, Computer Science, Computers, Cottle, David, Freeman, Garey, Gould, Guide, Inc, Internal Report, Intractability, ISBN, Johnson, Jong-Shi, MA, Michael
related to Non-convex quadratic programming · 13
Quadratic programming → Clique, Computing, It, Motzkin-Straus, NP-hard, NP-hardness, One, Pardalos, Sahni, Some, They, Vavasis, When
related to Convex quadratic programming · 11
Quadratic programming → For, Hence, Karmarkar's, Khachiyan, Kozlov, L2, On, Tarasov, This, Tse, Ye
related to Constrained least squares · 5
Quadratic programming → As, Cholesky, Conversely, RT, RTR
related to External links · 5
Quadratic programming → Archived, Operations Research, Quadratic ProgrammingQuadratic Programming Archived, Wayback MachineCubic, Wayback MachineNEOS Optimization Guide
related to Lagrangian duality · 5
Quadratic programming → Defining, Lagrangian, The Lagrangian, To, We
related to Equality constraints · 4
Quadratic programming → By, Lagrange, Lagrangian, Quadratic
related to Mixed-integer quadratic programming · 4
Quadratic programming → Applications, MIQP, There, This
related to Generalizations · 2
Quadratic programming → Hessian, When
related to Problem formulation · 2
Quadratic programming → Given, The

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Important terminology

quadratic programming problem constraints problems function linear optimization lagrangian solution program positive definite variables convex matrix one solving specifically constrained

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quadratic programmingis atype of nonlinear programming0.90text
Quadratic programmingrelated to Constrained least squaresAs0.60section
Quadratic programmingrelated to Constrained least squaresRTR0.60section
Quadratic programmingrelated to Constrained least squaresCholesky0.60section
Quadratic programmingrelated to Constrained least squaresRT0.60section
Quadratic programmingrelated to Constrained least squaresConversely0.60section
Quadratic programmingrelated to Convex quadratic programmingFor0.60section
Quadratic programmingrelated to Convex quadratic programmingHence0.60section
Quadratic programmingrelated to Convex quadratic programmingThis0.60section
Quadratic programmingrelated to Convex quadratic programmingKozlov0.60section
Quadratic programmingrelated to Convex quadratic programmingTarasov0.60section
Quadratic programmingrelated to Convex quadratic programmingKhachiyan0.60section

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