convex analysis
ConvexAnalysis
2005-04-16 04:14:00
2006-10-20 18:01:03
Topic
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\subsubsection{Convex sets}
\begin{enumerate}
\item convex set
\item polyconvex set
\item extreme point
\item convex combination
\item \PMlinkname{Carathéodory's theorem}{CaratheodorysTheorem2}
\item Radon's lemma
\item Helly's theorem
\end{enumerate}
\subsubsection{Topological properties of convex sets}
\begin{enumerate}
\item Krein-Milman theorem
\end{enumerate}
\subsubsection{Convex functions}
\begin{enumerate}
\item convex function
\item extremal value of convex/concave functions
\item logarithmically convex function
\item Jensen's inequality
\item subdifferentiable mapping
\end{enumerate}
\subsubsection{Miscellaneous}
\begin{enumerate}
\item Fenchel's duality theorem
\item saddle function
\item minimax theory
\end{enumerate}