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Optymalizacja wypukła×Programowanie nieliniowe×Optymalizacja solidna×
DziedzinaOptymalizacjaOptymalizacjaOptymalizacja
RodzinaProcess / pipelineProcess / pipelineProcess / pipeline
Rok powstania200420061970s theoretical roots; modern tractable form from late 1990s–2004
TwórcaStephen Boyd & Lieven VandenbergheJorge Nocedal & Stephen WrightBen-Tal, El Ghaoui & Nemirovski (seminal book, 2009); Bertsimas & Sim (tractable polyhedral formulation, 2004)
TypMathematical optimization frameworkContinuous mathematical optimizationMathematical programming framework
Źródło pierwotneBoyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. ISBN: 978-0-521-83378-3Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1Ben-Tal, A., El Ghaoui, L. & Nemirovski, A. (2009). Robust Optimization. Princeton University Press. ISBN: 9780691143682
Inne nazwyConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlamaminimax optimization, worst-case optimization, Gürbüz Optimizasyon (Robust Optimization)
Pokrewne335
PodsumowanieConvex 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.Nonlinear programming (NLP) is a branch of mathematical optimization concerned with problems in which the objective function or at least one constraint is nonlinear. Formalized comprehensively by Jorge Nocedal and Stephen Wright in their seminal 2006 text, NLP encompasses gradient-based algorithms — including sequential quadratic programming (SQP), interior-point methods, and quasi-Newton approaches — for finding locally or globally optimal solutions to continuous decision problems arising across engineering, economics, and the physical sciences.Robust optimization is a mathematical programming framework, formalised by Ben-Tal and Nemirovski in the late 1990s and made broadly tractable by Bertsimas and Sim (2004), that finds decisions guaranteed to perform acceptably under every scenario within a predefined uncertainty set — rather than assuming parameter values are known exactly. Instead of optimising for a single expected outcome, it minimises the worst-case objective across all plausible realisations of uncertain data.
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ScholarGatePorównaj metody: Convex Optimization · Nonlinear Programming · Robust Optimization. Pobrano 2026-06-15 z https://scholargate.app/pl/compare