arg min and arg max


For a real-valued function f with domain S, argminxSf(x) is the set of elements in S that achieve the global minimumMathworldPlanetmath in S,

argminxSf(x)={xS:f(x)=minySf(y)}.

argmaxxSf(x) is the set of elements in S that achieve the global maximum in S,

argmaxxSf(x)={xS:f(x)=maxySf(y)}.
Title arg min and arg max
Canonical name ArgMinAndArgMax
Date of creation 2013-03-22 14:27:55
Last modified on 2013-03-22 14:27:55
Owner kshum (5987)
Last modified by kshum (5987)
Numerical id 11
Author kshum (5987)
Entry type Definition
Classification msc 00A05
Defines argmin argmax