]>
gitweb.michael.orlitzky.com - mjotex.git/blob - mjo-convex.tex
2 % Operations that usually appear in convex optimization.
4 \ifx\havemjoconvex\undefined
8 \ifx\operatorname\undefined
12 \input{mjo-common
} % for \of, at least
14 % The ``conic combination'' operator.
15 \newcommand*
{\cone}[1]{ \operatorname{cone
} \of{{#1}} }
17 % The ``convex hull'' operator.
18 \newcommand*
{\conv}[1]{ \operatorname{conv
} \of{{#1}} }
20 % The ``affine hull'' operator.
21 \newcommand*
{\aff}[1]{ \operatorname{aff
} \of{{#1}} }
23 % The ``lineality space'' operator.
24 \newcommand*
{\linspace}[1]{ \operatorname{linspace
} \of{{#1}} }
26 % The ``lineality'' operator.
27 \newcommand*
{\lin}[1]{ \operatorname{lin
} \of{{#1}} }
29 % The ``Extreme vectors'' (or ``Extreme directions'') operator.
30 \newcommand*
{\Ext}[1]{ \operatorname{Ext
} \of{{#1}} }
32 % The "is a face of" and "is a proper face of" relations.
33 \newcommand*
{\faceof}{ \trianglelefteq }
34 \newcommand*
{\properfaceof}{ \triangleleft }