{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:17:06Z","timestamp":1759191426820},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642360619"},{"type":"electronic","value":"9783642360626"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-36062-6_4","type":"book-chapter","created":{"date-parts":[[2013,2,19]],"date-time":"2013-02-19T17:39:20Z","timestamp":1361295560000},"page":"38-48","source":"Crossref","is-referenced-by-count":3,"title":["Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space"],"prefix":"10.1007","author":[{"given":"Barbara","family":"Kaltenbacher","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"4_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4020-3122-9","volume-title":"Iterative methods for approximate solution of inverse problems","author":"A.B. Bakushinsky","year":"2004","unstructured":"Bakushinsky, A.B., Kokurin, M.Y.: Iterative methods for approximate solution of inverse problems. Springer, Dordrecht (2004)"},{"issue":"5","key":"4_CR2","doi-asserted-by":"publisher","first-page":"1411","DOI":"10.1088\/0266-5611\/20\/5\/005","volume":"20","author":"M. Burger","year":"2004","unstructured":"Burger, M., Osher, S.: Convergence rates of convex variational regularization. Inverse Problems\u00a020(5), 1411\u20131421 (2004)","journal-title":"Inverse Problems"},{"key":"4_CR3","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1137\/110826187","volume":"5","author":"C. Clason","year":"2012","unstructured":"Clason, C., Jin, B.: A semi-smooth Newton method for nonlinear parameter identification problems with impulsive noise. SIAM J. Imaging Sci.\u00a05, 505\u2013538 (2012)","journal-title":"SIAM J. Imaging Sci."},{"key":"4_CR4","first-page":"16","volume":"25","author":"T. Hein","year":"2009","unstructured":"Hein, T., Hofmann, B.: Approximate source conditions for nonlinear ill-posed problems \u2013 chances and limitations. Inverse Problems\u00a025, 035003 (16pp) (2009)","journal-title":"Inverse Problems"},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1088\/0266-5611\/26\/5\/055002","volume":"26","author":"T. Hein","year":"2010","unstructured":"Hein, T., Kazimierski, K.: Accelerated Landweber iteration in Banach spaces. Inverse Problems\u00a026, 055002 (17pp) (2010)","journal-title":"Inverse Problems"},{"issue":"3","key":"4_CR6","doi-asserted-by":"publisher","first-page":"987","DOI":"10.1088\/0266-5611\/23\/3\/009","volume":"23","author":"B. Hofmann","year":"2007","unstructured":"Hofmann, B., Kaltenbacher, B., P\u00f6schl, C., Scherzer, O.: A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Inverse Problems\u00a023(3), 987\u20131010 (2007)","journal-title":"Inverse Problems"},{"key":"4_CR7","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1088\/0266-5611\/26\/3\/035007","volume":"26","author":"B. Kaltenbacher","year":"2010","unstructured":"Kaltenbacher, B., Hofmann, B.: Convergence rates for the iteratively regularized Gauss-Newton method in Banach spaces. Inverse Problems\u00a026, 035007 (21pp) (2010)","journal-title":"Inverse Problems"},{"key":"4_CR8","doi-asserted-by":"crossref","unstructured":"Kaltenbacher, B., Neubauer, A., Scherzer, O.: Iterative Regularization Methods for Nonlinear Ill-posed Problems. de Gruyter (2007)","DOI":"10.1515\/9783110208276"},{"key":"4_CR9","doi-asserted-by":"crossref","unstructured":"Kaltenbacher, B., Sch\u00f6pfer, F., Schuster, T.: Convergence of some iterative methods for the regularization of nonlinear ill-posed problems in Banach spaces. Inverse Problems\u00a025, 065003 (2009), doi: 10.1088\/0266-5611\/25\/6\/065003","DOI":"10.1088\/0266-5611\/25\/6\/065003"},{"issue":"11","key":"4_CR10","doi-asserted-by":"publisher","first-page":"1729","DOI":"10.1080\/00036810903517597","volume":"89","author":"A. Neubauer","year":"2010","unstructured":"Neubauer, A., Hein, T., Hofmann, B., Kindermann, S., Tautenhahn, U.: Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces. Appl. Anal.\u00a089(11), 1729\u20131743 (2010)","journal-title":"Appl. Anal."},{"key":"4_CR11","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/s002459900081","volume":"38","author":"O. Scherzer","year":"1998","unstructured":"Scherzer, O.: A modified Landweber iteration for solving parameter estimation problems. Appl. Math. Optim.\u00a038, 45\u201368 (1998)","journal-title":"Appl. Math. Optim."},{"issue":"1","key":"4_CR12","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1088\/0266-5611\/22\/1\/017","volume":"22","author":"F. Sch\u00f6pfer","year":"2006","unstructured":"Sch\u00f6pfer, F., Louis, A.K., Schuster, T.: Nonlinear iterative methods for linear ill-posed problems in Banach spaces. Inverse Problems\u00a022(1), 311\u2013329 (2006)","journal-title":"Inverse Problems"},{"key":"4_CR13","unstructured":"Schuster, T., Kaltenbacher, B., Hofmann, B., Kazimierski, K.: Regularization Methods in Banach Spaces. de Gruyter (2007)"},{"issue":"10","key":"4_CR14","doi-asserted-by":"publisher","first-page":"1158","DOI":"10.1080\/01630563.2010.510977","volume":"31","author":"T. Hein","year":"2010","unstructured":"Hein, T., Kazimierski, K.S.: Modified Landweber iteration in Banach spaces - convergence and convergence rates. Numerical Functional Analysis and Optimization\u00a031(10), 1158\u20131189 (2010)","journal-title":"Numerical Functional Analysis and Optimization"}],"container-title":["IFIP Advances in Information and Communication Technology","System Modeling and Optimization"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-36062-6_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T22:14:31Z","timestamp":1562710471000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-36062-6_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642360619","9783642360626"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-36062-6_4","relation":{},"ISSN":["1868-4238","1861-2288"],"issn-type":[{"type":"print","value":"1868-4238"},{"type":"electronic","value":"1861-2288"}],"subject":[],"published":{"date-parts":[[2013]]}}}