{ "id": "math/0408191", "version": "v1", "published": "2004-08-14T15:20:50.000Z", "updated": "2004-08-14T15:20:50.000Z", "title": "A new discrepancy principle", "authors": [ "A. G. Ramm" ], "categories": [ "math.NA" ], "abstract": "The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a stability result.", "revisions": [ { "version": "v1", "updated": "2004-08-14T15:20:50.000Z" } ], "analyses": { "subjects": [ "47H15", "45G10", "35B25" ], "keywords": [ "stability result", "discrepancy principle", "minimization problem" ], "publication": { "doi": "10.1016/j.jmaa.2005.01.062", "journal": "Journal of Mathematical Analysis and Applications", "year": 2005, "month": "Oct", "volume": 310, "number": 1, "pages": 342 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005JMAA..310..342R" } } }