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Programmazione Quadratica (QP)×Ottimizzazione Convessa×Programmazione Lineare×
CampoOttimizzazioneOttimizzazioneOttimizzazione
FamigliaProcess / pipelineProcess / pipelineProcess / pipeline
Anno di origine195620041947
IdeatoreMarguerite Frank & Philip WolfeStephen Boyd & Lieven VandenbergheGeorge B. Dantzig
TipoConstrained mathematical optimizationMathematical optimization frameworkMathematical programming / continuous optimization
Fonte seminaleFrank, M., & Wolfe, P. (1956). An algorithm for quadratic programming. Naval Research Logistics Quarterly, 3(1–2), 95–110. DOI ↗Boyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. ISBN: 978-0-521-83378-3Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
AliasQP Optimization, Quadratic Optimization, Convex Quadratic Programming, İkinci Dereceden ProgramlamaConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingLP, linear optimization, Doğrusal Programlama (LP)
Correlati234
SintesiQuadratic Programming (QP) is a class of constrained mathematical optimization in which the objective function is quadratic and the constraints are linear. Formalized by Frank and Wolfe (1956) through their gradient-based feasible-direction algorithm, QP is foundational in operations research, finance, machine learning, and engineering design wherever one must minimize a convex (or non-convex) quadratic cost subject to linear feasibility conditions.Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets. Formalized and popularized by Stephen Boyd and Lieven Vandenberghe in their landmark 2004 textbook, the framework unifies a wide family of problems — including linear programming, quadratic programming, semidefinite programming, and second-order cone programming — under a single theoretical roof. Its defining property is that any locally optimal solution is also globally optimal, making it tractable and reliable for engineering, statistics, machine learning, and operations research.Linear programming (LP), pioneered by George B. Dantzig in 1947, is a mathematical method for finding the best value of a linear objective function — such as minimum cost or maximum profit — subject to a set of linear inequality and equality constraints. It is the foundational technique in operations research and underlies production planning, resource allocation, logistics, diet problems, and countless other decision-making scenarios across engineering, economics, and the natural sciences.
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ScholarGateConfronta i metodi: Quadratic Programming · Convex Optimization · Linear Programming. Consultato il 2026-06-15 da https://scholargate.app/it/compare