×

Exact solutions for minimax optimization problems. (English) Zbl 1125.90061

In the paper, only for a few simple examples, the exact minimum of the maximum of a finite number of smooth functions over \(\mathbb R^n,\;n=2,3\) is elementary calculated by using the well-known Karush-Kuhn-Tucker conditions of minimax-problems. But this usually has been done in undergraduate lectures of mathematical programming since more than 30 years.

MSC:

90C47 Minimax problems in mathematical programming
49K35 Optimality conditions for minimax problems
00-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general
PDFBibTeX XMLCite
Full Text: DOI