{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T16:15:27Z","timestamp":1783786527030,"version":"3.55.0"},"reference-count":32,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T00:00:00Z","timestamp":1782950400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2027,1]]},"DOI":"10.1016\/j.amc.2026.130227","type":"journal-article","created":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T13:19:24Z","timestamp":1783775964000},"page":"130227","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Iterated Tikhonov regularization of large linear problems"],"prefix":"10.1016","volume":"532","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-1477-5194","authenticated-orcid":false,"given":"D.","family":"Furch\u00ec","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1729-6816","authenticated-orcid":false,"given":"L.","family":"Reichel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2026.130227_bib0001","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1137\/21M1441420","article-title":"Computational methods for large-scale inverse problems: a survey on hybrid projection methods","volume":"66","author":"Chung","year":"2024","journal-title":"SIAM Rev."},{"key":"10.1016\/j.amc.2026.130227_bib0002","series-title":"Rank-Deficient and Discrete Ill-Posed Problems","author":"Hansen","year":"1998"},{"key":"10.1016\/j.amc.2026.130227_bib0003","series-title":"Regularization of Inverse Problems","author":"Engl","year":"1996"},{"key":"10.1016\/j.amc.2026.130227_bib0004","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1016\/j.cam.2013.08.015","article-title":"Square smoothing regularization matrices with accurate boundary conditions","volume":"272","author":"Donatelli","year":"2014","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0005","doi-asserted-by":"crossref","DOI":"10.1002\/nla.2163","article-title":"Regularization matrices for discrete ill-posed problems in several space-dimensions","volume":"25","author":"Dykes","year":"2018","journal-title":"Numer. Linear Algebra Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0006","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.laa.2015.12.008","article-title":"Regularization matrices via matrix nearness problems","volume":"502","author":"Huang","year":"2016","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0007","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1007\/s11075-013-9760-5","article-title":"Application of denoising methods to regularization of ill-posed problems","volume":"66","author":"Hearn","year":"2014","journal-title":"Numer. Agorithms"},{"key":"10.1016\/j.amc.2026.130227_bib0008","doi-asserted-by":"crossref","first-page":"403","DOI":"10.4208\/nmtma.2015.m1337","article-title":"Image denoising via residual kurtosis minimization","volume":"8","author":"Hearn","year":"2015","journal-title":"Numer. Math. Theor. Meth. Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0009","first-page":"233","article-title":"Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems","volume":"38","author":"Kindermann","year":"2011","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10.1016\/j.amc.2026.130227_bib0010","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1553\/etna_vol53s217","article-title":"A simplified L-curve method as error estimator","volume":"53","author":"Kindermann","year":"2020","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10.1016\/j.amc.2026.130227_bib0011","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s11075-012-9612-8","article-title":"Old and new parameter choice rules for discrete ill-posed problems","volume":"63","author":"Reichel","year":"2013","journal-title":"Numer. Agorithms"},{"key":"10.1016\/j.amc.2026.130227_bib0012","doi-asserted-by":"crossref","DOI":"10.1002\/nla.2089","article-title":"Iterated Tikhonov regularization with a general penalty term","volume":"24","author":"Buccini","year":"2017","journal-title":"Numer. Linear Algebra Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0013","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.apnum.2016.07.009","article-title":"Regularizing preconditioners by non-stationary iterated Tikhonov with general penalty term","volume":"116","author":"Buccini","year":"2017","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0014","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s11075-022-01407-7","article-title":"An Arnoldi-based preconditioner for iterated Tikhonov regularization","volume":"92","author":"Buccini","year":"2023","journal-title":"Numer. Algorithms"},{"key":"10.1016\/j.amc.2026.130227_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2019.05.024","article-title":"Generalized singular value decomposition with iterated Tikhonov regularization","volume":"373","author":"Buccini","year":"2020","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0016","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s10543-015-0568-7","article-title":"Projected nonstationary iterated Tikhonov regularization","volume":"56","author":"Huang","year":"2016","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0017","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1007\/BF01941141","article-title":"A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations","volume":"18","author":"Bj\u00f6rck","year":"1988","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0018","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1023\/A:1026083619097","article-title":"Tikhonov regularization of large linear problems","volume":"43","author":"Calvetti","year":"2003","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0019","doi-asserted-by":"crossref","first-page":"1151","DOI":"10.1080\/00207160701356324","article-title":"Greedy Tikhonov regularization for large linear ill-posed problems","volume":"84","author":"Reichel","year":"2007","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0020","series-title":"Matrices, Moments and Quadrature with Applications","author":"Golub","year":"2010"},{"key":"10.1016\/j.amc.2026.130227_bib0021","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1023\/A:1022383005969","article-title":"Estimation of the L-curve via Lanczos bidiagonalization","volume":"39","author":"Calvetti","year":"1999","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0022","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1007\/s10543-008-0179-7","article-title":"A new zero-finder for Tikhonov regularization","volume":"48","author":"Reichel","year":"2008","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0023","doi-asserted-by":"crossref","first-page":"2540","DOI":"10.1016\/j.laa.2008.04.047","article-title":"Matrices, moments, and rational quadrature","volume":"429","author":"L\u00f3pez Lagomasino","year":"2008","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0024","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/BF01934412","article-title":"A weighted pseudoinverse, generalized singular values, and constraint least squares problems","volume":"22","author":"Eld\u00e9n","year":"1982","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0025","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s11075-007-9080-8","article-title":"Orthogonal projection regularization operators","volume":"44","author":"Morigi","year":"2007","journal-title":"Numer. Agorithms"},{"key":"10.1016\/j.amc.2026.130227_bib0026","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1007\/s10543-026-01114-y","article-title":"The iterated Golub-Kahan-Tikhonov method","volume":"66","author":"Bianchi","year":"2026","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0027","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/0168-9274(88)90013-X","article-title":"An a posteriori parameter choice for Tikhonov regularization in the presence of modeling errors","volume":"4","author":"Neubauer","year":"1998","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.amc.2026.130227_bib0028","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1145\/355984.355989","article-title":"LSQR: an algorithm for sparse linear equations and sparse least squares","volume":"8","author":"Paige","year":"1982","journal-title":"ACM Trans. Math. Softw."},{"key":"10.1016\/j.amc.2026.130227_bib0029","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0022-247X(72)90259-4","article-title":"Improvements of the resolution of an instrument by numerical solution of an integral equation","volume":"37","author":"Shaw","year":"1972","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.amc.2026.130227_bib0030","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02149761","article-title":"Regularization tools: a MATLAB package for analysis and solution of discrete ill-posed problems","volume":"6","author":"Hansen","year":"1994","journal-title":"Numer. Agorithms"},{"key":"10.1016\/j.amc.2026.130227_bib0031","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1093\/imanum\/2.2.241","article-title":"The use of auto-correlation for pseudo-rank determination in noisy ill-conditioned least-squares problems","volume":"2","author":"Baart","year":"1982","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/j.amc.2026.130227_bib0032","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1007\/s11075-018-0570-7","article-title":"IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems","volume":"81","author":"Gazzola","year":"2019","journal-title":"Numer. Agorithms"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300326002791?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300326002791?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T15:58:41Z","timestamp":1783785521000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300326002791"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2027,1]]},"references-count":32,"alternative-id":["S0096300326002791"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2026.130227","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2027,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Iterated Tikhonov regularization of large linear problems","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2026.130227","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"130227"}}