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The complexity of optimizing over a simplex, hypercube or sphere: a short survey

  • Etienne Klerk

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    We consider the computational complexity of optimizing various classes of continuous functions over a simplex, hypercube or sphere. These relatively simple optimization problems arise naturally from diverse applications. We review known approximation results as well as negative (inapproximability) results from the recent literature. Copyright The Author(s) 2008

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    File URL: http://hdl.handle.net/10.1007/s10100-007-0052-9
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    Article provided by Springer & Slovak Society for Operations Research & Hungarian Operational Research Society & Czech Society for Operations Research & Österr. Gesellschaft für Operations Research (ÖGOR) & Slovenian Society Informatika - Section for Operational Research & Croatian Operational Research Society in its journal Central European Journal of Operations Research.

    Volume (Year): 16 (2008)
    Issue (Month): 2 (June)
    Pages: 111-125

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    Handle: RePEc:spr:cejnor:v:16:y:2008:i:2:p:111-125
    DOI: 10.1007/s10100-007-0052-9
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    1. NESTEROV, Yu, 2003. "Random walk in a simplex and quadratic optimization over convex polytopes," CORE Discussion Papers 2003071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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