Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex optimization, a subdomain of optimization theory. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Mathematics, a real-valued function f defined on an interval (or on any Convex subset of some Vector space) is called convex In Euclidean space, an object is convex if for every pair of points within the object every point on the Straight line segment that joins them is also within the Convex optimization is a subfield of mathematical optimization. In Mathematics, the term optimization, or mathematical programming, refers to the study of problems in which one seeks to minimize or maximize a real function
See also
References
- J. This is a list of convexity topics, by Wikipedia page Alpha blending Barycentric coordinates Bohr-Mollerup theorem -B. Hiriart-Urruty, C. Lemaréchal, Fundamentals of convex analysis, Springer-Verlag, Berlin, 2001.
- R. T. Rockafellar, Convex analysis, Princeton University Press, Princeton, NJ, 1970. Reprint: 1997.
- J. Stoer, C. Witzgall, Convexity and optimization in finite dimensions. I, Springer, Berlin, 1970.
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