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Optimasi Konveks×Pemrograman Dinamis×
BidangOptimasiOptimasi
KeluargaProcess / pipelineProcess / pipeline
Tahun asal20041957
PencetusStephen Boyd & Lieven VandenbergheRichard Bellman
TipeMathematical optimization frameworkExact combinatorial optimization via recursive decomposition
Sumber perintisBoyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. ISBN: 978-0-521-83378-3Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6
AliasConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingDP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama
Terkait33
RingkasanConvex 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.Dynamic Programming (DP) is an exact optimization technique introduced by Richard Bellman in 1957 for solving multi-stage decision problems. It decomposes a complex problem into simpler, overlapping subproblems, solves each subproblem once, and stores the results to avoid redundant computation. Grounded in the Principle of Optimality, DP guarantees globally optimal solutions whenever the problem exhibits overlapping subproblems and optimal substructure.
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ScholarGateBandingkan metode: Convex Optimization · Dynamic Programming. Diakses 2026-06-15 dari https://scholargate.app/id/compare