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单词 ConvexAnalysis
释义

convex analysis


0.0.1 Convex sets

  1. 1.

    convex set

  2. 2.

    polyconvex set

  3. 3.

    extreme pointPlanetmathPlanetmath

  4. 4.

    convex combination

  5. 5.

    Carathéodory’s theorem (http://planetmath.org/CaratheodorysTheorem2)

  6. 6.

    Radon’s lemma

  7. 7.

    Helly’s theorem

0.0.2 Topological properties of convex sets

  1. 1.

    Krein-Milman theorem

0.0.3 Convex functions

  1. 1.

    convex function

  2. 2.

    extremal value of convex/concave functions

  3. 3.

    logarithmically convex functionMathworldPlanetmath

  4. 4.

    Jensen’s inequalityMathworldPlanetmath

  5. 5.

    subdifferentiable mapping

0.0.4 Miscellaneous

  1. 1.

    Fenchel’s duality theorem

  2. 2.

    saddle functionMathworldPlanetmath

  3. 3.

    minimax theory

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