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- Convex_optimization abstract "Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. The convexity property can make optimization in some sense "easier" than the general case - for example, any local minimum must be a global minimum.Given a real vector space together with a convex, real-valued function defined on a convex subset of , the problem is to find any point in for which the number is smallest, i.e., a point such thatfor all .The convexity of makes the powerful tools of convex analysis applicable. In finite-dimensional normed spaces, the Hahn–Banach theorem and the existence of subgradients lead to a particularly satisfying theory of necessary and sufficient conditions for optimality, a duality theory generalizing that for linear programming, and effective computational methods.Convex minimization has applications in a wide range of disciplines, such as automatic control systems, estimation and signal processing, communications and networks, electronic circuit design, data analysis and modeling, statistics (optimal design), and finance. With recent improvements in computing and in optimization theory, convex minimization is nearly as straightforward as linear programming. Many optimization problems can be reformulated as convex minimization problems. For example, the problem of maximizing a concave function f can be re-formulated equivalently as a problem of minimizing the function -f, which is convex.".
- Convex_optimization wikiPageExternalLink presentation.pdf.
- Convex_optimization wikiPageExternalLink 6-253-convex-analysis-and-optimization-spring-2010.
- Convex_optimization wikiPageExternalLink ee364a.
- Convex_optimization wikiPageExternalLink ee364b.
- Convex_optimization wikiPageExternalLink cvxbook.
- Convex_optimization wikiPageID "1674411".
- Convex_optimization wikiPageRevisionID "580406730".
- Convex_optimization hasPhotoCollection Convex_optimization.
- Convex_optimization subject Category:Convex_analysis.
- Convex_optimization subject Category:Convex_optimization.
- Convex_optimization subject Category:Mathematical_optimization.
- Convex_optimization comment "Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets.".
- Convex_optimization label "Convex optimization".
- Convex_optimization label "Konvexe Optimierung".
- Convex_optimization label "Optimisation convexe".
- Convex_optimization label "凸優化".
- Convex_optimization label "凸最適化".
- Convex_optimization sameAs Konvexní_programování.
- Convex_optimization sameAs Konvexe_Optimierung.
- Convex_optimization sameAs Optimisation_convexe.
- Convex_optimization sameAs 凸最適化.
- Convex_optimization sameAs m.05mfj6.
- Convex_optimization sameAs Q463359.
- Convex_optimization sameAs Q463359.
- Convex_optimization wasDerivedFrom Convex_optimization?oldid=580406730.
- Convex_optimization isPrimaryTopicOf Convex_optimization.