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A new Lenstra-type algorithm for quasiconvex polynomial integer minimization with complexity 2O(nlogn)

Published:2013-02 Issue:1 Volume:10 Page:69-84
ISSN:1572-5286
Container-title:Discrete Optimization
language:en
Short-container-title:Discrete Optimization

Author:

Hildebrand Robert,Köppe Matthias

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Theory and Mathematics,Theoretical Computer Science

Reference35 articles.

1. Convex Optimization;Boyd,2004

2. Integer optimization on convex semialgebraic sets;Khachiyan;Discrete & Computational Geometry,2000

3. Integer programming with a fixed number of variables;Lenstra;Mathematics of Operations Research,1983

4. Complexity of integer quasiconvex polynomial optimization;Heinz;Journal of Complexity,2005

5. Integer programming and algorithmic geometry of numbers;Eisenbrand,2010

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