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Konveksna optimizacija×Linearno programiranje×
OblastOptimizacijaOptimizacija
PorodicaProcess / pipelineProcess / pipeline
Godina nastanka20041947
TvoracStephen Boyd & Lieven VandenbergheGeorge B. Dantzig
TipMathematical optimization frameworkMathematical programming / continuous optimization
Temeljni izvorBoyd, 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
Drugi naziviConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingLP, linear optimization, Doğrusal Programlama (LP)
Srodne34
SažetakConvex 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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ScholarGateUporedite metode: Convex Optimization · Linear Programming. Preuzeto 2026-06-15 sa https://scholargate.app/sr/compare