Concept information
Preferred term
convex analysis
Definition
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Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Convex_analysis)
Broader concept
Narrower concepts
- affine hull
- bipolar theorem
- Bregman divergence
- complex convexity
- concave function
- convex combination
- convex cone
- convex conjugate
- convex function
- convex polygon
- convex polytope
- convex set
- dual cone
- effective domain
- ellipsoid
- Farkas' lemma
- Fenchel-Moreau theorem
- Gauss-Lucas theorem
- Hahn-Banach theorem
- Hilbert projection theorem
- Hölder's inequality
- Legendre transformation
- Minkowski functional
- polar set
- recession cone
- strictly convex space
- subderivative
- sublinear function
- tangent cone
- uniformly convex space
- weak derivative
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-ZTD7VMDS-3
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