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Duality for Multiobjective Semidefinite Optimization Problems

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Operations Research Proceedings 2014

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

In this note we introduce a new multiobjective dual problem for a given multiobjective optimization problem consisting in the vector minimization with respect to the corresponding positive semidefinite cone of a matrix function subject to both geometric and semidefinite inequality constraints.

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References

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Acknowledgments

Research partially supported by DFG (German Research Foundation), project WA 922/8-1. The author is indebted to Y. Ledyaev and L.M. Graña Drummond for the useful discussions which led to this note.

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Authors and Affiliations

  1. Faculty of Mathematics, Chemnitz University of Technology, D-09107, Chemnitz, Germany

    Sorin-Mihai Grad

Authors
  1. Sorin-Mihai Grad
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Corresponding author

Correspondence to Sorin-Mihai Grad .

Editor information

Editors and Affiliations

  1. Operations Research, RWTH Aachen University, Aachen, Germany

    Marco Lübbecke

  2. Lehrstuhl II für Mathematik, RWTH Aachen University, Aachen, Germany

    Arie Koster

  3. RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Peter Letmathe

  4. E.ON Energy Research Center, RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Reinhard Madlener

  5. Management Science, RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Britta Peis

  6. Chair of Operations Management, RWTH Aachen University, Aachen, Germany

    Grit Walther

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Grad, SM. (2016). Duality for Multiobjective Semidefinite Optimization Problems. In: Lübbecke, M., Koster, A., Letmathe, P., Madlener, R., Peis, B., Walther, G. (eds) Operations Research Proceedings 2014. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-28697-6_27

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