> Both these conditions are equivalent to the KKT, and in the linear
>  programming case are fairly trivial to prove.  But the textbooks don't
>  usually call them KKT 

Probably it depends on particular textbooks. The term "Kuhn–Tucker
optimality conditions" is commonly used in most literature on
mathematical programming; see:

http://en.wikipedia.org/wiki/Karush%E2%80%93Kuhn%E2%80%
93Tucker_conditions

AFAIK, the term "Karush–Kuhn–Tucker conditions" is used only in case of
linear programs.

> so I believe the wiki page entry should refer it
>  as "Tests for Optimality" and then discuss the more precise
>  calculations.
> 



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