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We carry out a convergence analysis in the sense of regularization methods and discuss applicability to the problem of identifying the spatially varying diffusivity in an elliptic PDE from different sets of observations. Among these is a novel hybrid imaging technology known as impedance acoustic tomography, for which we provide numerical experiments.\n<\/jats:p>","DOI":"10.1007\/s10589-021-00343-x","type":"journal-article","created":{"date-parts":[[2021,12,19]],"date-time":"2021-12-19T10:02:35Z","timestamp":1639908155000},"page":"569-611","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Iterative regularization for constrained minimization formulations of nonlinear inverse problems"],"prefix":"10.1007","volume":"81","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3295-6977","authenticated-orcid":false,"given":"Barbara","family":"Kaltenbacher","sequence":"first","affiliation":[]},{"given":"Kha","family":"Van Huynh","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,12,19]]},"reference":[{"key":"343_CR1","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s10107-018-1252-x","volume":"174","author":"H Attouch","year":"2019","unstructured":"Attouch, H., Peypouquet, J.: Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators. 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