Theorem

Bauer Maximum Principle

Analysis

Bauer's maximum principle is a theorem in mathematical optimization stating that any function that is convex and continuous, and defined on a set that is convex and compact, attains its maximum at some extreme point of that set. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Existence Theorem 1
Connections

Has Statement Form

In Branch

Source Bauer maximum principle (Wikipedia)

Principal Result Of

Source Bauer maximum principle (Wikipedia)

Proved By

Source Bauer maximum principle (Wikipedia)
Sources
1. Bauer maximum principle (Wikipedia)
  • Lead section
    Bauer's maximum principle is the following theorem in mathematical optimization: Any function that is convex and continuous, and defined on a set that is convex and compact, attains its maximum at some extreme point of that set.
  • Proved By: Heinz Bauer, Lead sentence
    It is attributed to the German mathematician Heinz Bauer.
  • Principal Result Of: Heinz Bauer, Lead sentence of the article on the result
    It is attributed to the German mathematician Heinz Bauer.
  • In Branch: Optimization, Lead sentence
    rinciple is the following theorem in mathematical optimization: Any function that is convex and continuous, and defined on a set t
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