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Optimisasi Konveks×Pengaturcaraan Dinamik×
BidangPengoptimumanPengoptimuman
KeluargaProcess / pipelineProcess / pipeline
Tahun asal20041957
PengasasStephen Boyd & Lieven VandenbergheRichard Bellman
JenisMathematical 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
Berkaitan33
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 kaedah: Convex Optimization · Dynamic Programming. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare