Global maxima of real-valued functions

  • G. Gabrielsen
Contributed Papers


In this paper, sufficient conditions for a local maximum to be global are discussed. The result is that a real continuously differentiable functionf, defined on a subset ofRn, under fairly weak conditions, is unimodal iff has a strict local maximum at any stationary point.

Key Words

Global optimality strict local maxima elementary topology differentiability 


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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • G. Gabrielsen
    • 1
  1. 1.Institute of Theoretical Statistics, Copenhagen School of Economics and Business AdministrationCopenhagenDenmark

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