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 entropyminimization or constraints, and iterative methods involving projections or nonnegativity- preserving multiplicative updates. We summarize known results and point out some open problems.
CITATION STYLE
Clason, C., Kaltenbacher, B., & Resmerita, E. (2019). Regularization of Ill-Posed Problems with Non-negative Solutions. In Splitting Algorithms, Modern Operator Theory, and Applications (pp. 113–135). Springer International Publishing. https://doi.org/10.1007/978-3-030-25939-6_5
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