English

Regularization of ill-posed problems with non-negative solutions

Numerical Analysis 2018-05-07 v1 Optimization and Control

Abstract

This survey reviews variational and iterative methods for reconstructing non-negative solutions of ill-posed problems in infinite-dimensional spaces. We focus on two classes of methods: variational methods based on entropy-minimization or constraints, and iterative methods involving projections or non-negativity-preserving multiplicative updates. We summarize known results and point out some open problems.

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Cite

@article{arxiv.1805.01722,
  title  = {Regularization of ill-posed problems with non-negative solutions},
  author = {Christian Clason and Barbara Kaltenbacher and Elena Resmerita},
  journal= {arXiv preprint arXiv:1805.01722},
  year   = {2018}
}

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R2 v1 2026-06-23T01:45:07.380Z