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dc.contributor.authorMuoi, Pham Quyen
dc.contributor.authorHào, Dinh Nhoen
dc.contributor.authorSahoo, Sujit Kumaren
dc.contributor.authorTang, Dongliangen
dc.contributor.authorCong, Nguyen Huuen
dc.contributor.authorDang, Cuongen
dc.identifier.citationMuoi, P. Q., Hào, D. N., Sahoo, S. K., Tang, D., Cong, N. H., & Dang, C. (2018). Inverse problems with nonnegative and sparse solutions: algorithms and application to the phase retrieval problem. Inverse Problems, 34(5), 055007-. doi:10.1088/1361-6420/aab6c9en
dc.description.abstractIn this paper, we study a gradient-type method and a semismooth Newton method for minimization problems in regularizing inverse problems with nonnegative and sparse solutions. We propose a special penalty functional forcing the minimizers of regularized minimization problems to be nonnegative and sparse, and then we apply the proposed algorithms in a practical the problem. The strong convergence of the gradient-type method and the local superlinear convergence of the semismooth Newton method are proven. Then, we use these algorithms for the phase retrieval problem and illustrate their efficiency in numerical examples, particularly in the practical problem of optical imaging through scattering media where all the noises from experiment are presented.en
dc.description.sponsorshipNMRC (Natl Medical Research Council, S’pore)en
dc.description.sponsorshipMOH (Min. of Health, S’pore)en
dc.description.sponsorshipMOE (Min. of Education, S’pore)en
dc.format.extent16 p.en
dc.relation.ispartofseriesInverse Problemsen
dc.rights© 2018 IOP Publishing Ltd. All rights reserved. This is an author-created, un-copyedited version of an article accepted for publication in Inverse Problems. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at
dc.subjectGradient-type Algorithmen
dc.subjectInverse Problemsen
dc.subjectDRNTU::Engineering::Electrical and electronic engineeringen
dc.titleInverse problems with nonnegative and sparse solutions : algorithms and application to the phase retrieval problemen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen
dc.contributor.researchThe Photonics Instituteen
dc.contributor.researchCentre for OptoElectronics and Biophotonicsen
dc.description.versionAccepted versionen
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