Integer Convex Minimization in Low Dimensions

  title={Integer Convex Minimization in Low Dimensions},
  author={Timm Oertel},
In this dissertation we discuss several approaches to solve integer and mixedinteger convex minimization problems. That is, we try to minimize a convex function over a convex set with the additional constraint that a small number variables must be integral. The thesis consists of four parts. In the first part we apply the Mirror-Descent Method from continuous convex optimization to the mixed-integer setting. The main feature of this method is that the number of iterations is independent of the… 
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  • S. Heinz
  • Mathematics, Computer Science
    J. Complex.
  • 2005
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