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In examples from acoustic and electromagnetic scattering problems we show the superiority of our preconditioned Newton methods when compared with other kinds of Newton methods.<\/jats:p>","DOI":"10.1137\/090749967","type":"journal-article","created":{"date-parts":[[2010,8,20]],"date-time":"2010-08-20T18:48:15Z","timestamp":1282330095000},"page":"2543-2559","source":"Crossref","is-referenced-by-count":10,"title":["Investigation of Preconditioning Techniques for the Iteratively Regularized Gauss\u2013Newton Method for Exponentially Ill-Posed Problems"],"prefix":"10.1137","volume":"32","author":[{"given":"Stefan","family":"Langer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,8,19]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"O. 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Saad,\n                      Iterative Methods for Sparse Linear Systems\n                      , International Thomson Publishing, Boston, 1996."},{"key":"R24","doi-asserted-by":"crossref","unstructured":"H. van der Vorst,\n                      Iterative Krylov Methods for Large Linear Systems\n                      , Cambridge University Press, Cambridge, 2003.","DOI":"10.1017\/CBO9780511615115"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090749967","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:42:03Z","timestamp":1787330523000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090749967"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":24,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/090749967"],"URL":"https:\/\/doi.org\/10.1137\/090749967","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}