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Variational Source Conditions

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Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Part of the book series: Frontiers in Mathematics ((FM))

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Abstract

In this chapter we discuss variational source conditions in the context of quadratic inverse problems. We start with a short introduction to the topic and then discuss more or less classical alternatives and their deficiencies. The first of the two main results of this chapter will state that variational source conditions are the right tool for our purposes, and the second demonstrates a way to obtain concrete variational source conditions for quadratic mappings.

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References

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Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Jens Flemming

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  1. Jens Flemming
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Flemming, J. (2018). Variational Source Conditions. In: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-95264-2_7

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