mjo-convex.tex

   1 %
   2 % Operations that usually appear in convex optimization.
   3 %
   4
   5 % Needed for \operatorname.
   6 \usepackage{amsopn}
   7
   8 \input{mjo-common}
   9
  10 % The ``conic combination'' operator.
  11 \newcommand*{\cone}[1]{ \operatorname{cone} \of{{#1}} }
  12
  13 % The ``convex hull'' operator.
  14 \newcommand*{\conv}[1]{ \operatorname{conv} \of{{#1}} }
  15
  16 % The ``affine hull'' operator.
  17 \newcommand*{\aff}[1]{ \operatorname{aff} \of{{#1}} }
  18
  19 % The ``lineality space'' operator.
  20 \newcommand*{\linspace}[1]{ \operatorname{linspace} \of{{#1}} }
  21
  22 % The ``lineality'' operator.
  23 \newcommand*{\lin}[1]{ \operatorname{lin} \of{{#1}} }
  24
  25 % The ``Extreme vectors'' (or ``Extreme directions'') operator.
  26 \newcommand*{\Ext}[1]{ \operatorname{Ext} \of{{#1}} }