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In this paper an analysis of these phenomena is given and the so-called mesh independence for non-linear least squares problems with norm constraints (NCNLLS) is proved. A Gauss\u2013Newton method for the solution of NCNLLS is discussed and its convergence properties are analyzed. The mesh independence is proven in its sharpest formulation. Sufficient conditions for the mesh independence to hold are related to conditions guaranteeing convergence of the Gauss-Newton method. The results are demonstrated on a two-point boundary value problem.<\/jats:p>","DOI":"10.1137\/0803005","type":"journal-article","created":{"date-parts":[[2005,2,23]],"date-time":"2005-02-23T05:50:35Z","timestamp":1109137835000},"page":"81-117","source":"Crossref","is-referenced-by-count":33,"title":["Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints"],"prefix":"10.1137","volume":"3","author":[{"given":"Matthias","family":"Heinkenschloss","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,13]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0724086"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0723011"},{"key":"R3","series-title":"Lecture Notes in Pure and Appl. 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