English

Quasiconvex Programming

Computational Geometry 2007-05-23 v1

Abstract

We define quasiconvex programming, a form of generalized linear programming in which one seeks the point minimizing the pointwise maximum of a collection of quasiconvex functions. We survey algorithms for solving quasiconvex programs either numerically or via generalizations of the dual simplex method from linear programming, and describe varied applications of this geometric optimization technique in meshing, scientific computation, information visualization, automated algorithm analysis, and robust statistics.

Keywords

Cite

@article{arxiv.cs/0412046,
  title  = {Quasiconvex Programming},
  author = {David Eppstein},
  journal= {arXiv preprint arXiv:cs/0412046},
  year   = {2007}
}

Comments

33 pages, 14 figures