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Convex spectral functions and approximate intertwining relationships

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Abstract

We consider approximate intertwining relationships, and show that the standard solution, which involves the pseudoinverse, remains a solution for a large class of discrepancy measures, namely the class of all \(\mathbb{R }\)-valued convex spectral functions.

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Notes

  1. The term intertwining relationship comes from condensed matter physics as well as related fields (see [6, 7]).

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Acknowledgments

The second author was supported by the CNRS and UMI 3069 PIMS EUROPE.

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Authors and Affiliations

  1. MAPMO, Université d’Orléans, Orléans, France

    Xavier Bonnefond

  2. ISAE,Université de Toulouse, Toulouse, France

    Pierre Maréchal

Authors
  1. Xavier Bonnefond
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  2. Pierre Maréchal
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Correspondence to Pierre Maréchal.

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Bonnefond, X., Maréchal, P. Convex spectral functions and approximate intertwining relationships. Optim Lett 8, 401–405 (2014). https://doi.org/10.1007/s11590-013-0638-1

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  • DOI: https://doi.org/10.1007/s11590-013-0638-1

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