{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T00:52:27Z","timestamp":1768006347989,"version":"3.49.0"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2007,3,7]],"date-time":"2007-03-07T00:00:00Z","timestamp":1173225600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2007,4]]},"DOI":"10.1007\/s10851-007-0650-0","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T12:01:00Z","timestamp":1173355260000},"page":"265-276","source":"Crossref","is-referenced-by-count":69,"title":["On Semismooth Newton\u2019s Methods for Total Variation Minimization"],"prefix":"10.1007","volume":"27","author":[{"given":"Michael K.","family":"Ng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liqun","family":"Qi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-fei","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-mei","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,3,7]]},"reference":[{"key":"650_CR1","doi-asserted-by":"crossref","first-page":"1217","DOI":"10.1088\/0266-5611\/10\/6\/003","volume":"10","author":"R. Acar","year":"1994","unstructured":"R. Acar and C.R. Vogel, \u201cAnalysis of bounded variation penalty methods for ill-posed problems,\u201d Inverse Problems, Vol. 10, pp. 1217\u20131229, 1994.","journal-title":"Inverse Problems"},{"key":"650_CR2","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011320.81911.38","volume":"20","author":"A. Chambolle","year":"2004","unstructured":"A. Chambolle, \u201cAn algorithm for total variation minimization and applications,\u201d Journal of Mathematical Imaging and Vision, Vol. 20, pp. 89\u201397, 2004.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"650_CR3","doi-asserted-by":"crossref","first-page":"1964","DOI":"10.1137\/S1064827596299767","volume":"20","author":"T.F. Chan","year":"1999","unstructured":"T.F. Chan, G.H. Golub, and P. Mulet, \u201cA nonlinear primal-dual method for total variation-based image restoration,\u201d SIAM J. Sci. Comput., Vol. 20, pp. 1964\u20131977, 1999.","journal-title":"SIAM J. Sci. Comput."},{"key":"650_CR4","volume-title":"Optimization and Nonsmooth Analysis","author":"F.H. Clarke","year":"1983","unstructured":"F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley: New York, 1983."},{"key":"650_CR5","unstructured":"G.H. Golub and C. Van Loan, Matrix Computations, 3rd ed., The Johns Hopkins University Press, 1996."},{"key":"650_CR6","doi-asserted-by":"crossref","unstructured":"H. Jiang and D. Ralph, \u201cGlobal and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares,\u201d in Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima and L. Qi (eds.), Kluwer Acad. Publ., Dordrecht, 1998, pp. 181\u2013209.","DOI":"10.1007\/978-1-4757-6388-1_10"},{"key":"650_CR7","unstructured":"G. Golub and C. Van Loan, Matrix Computations, 3rd ed., The Johns Hopkins University Press, 1996."},{"key":"650_CR8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1287\/moor.18.1.227","volume":"18","author":"L. Qi","year":"1993","unstructured":"L. Qi, \u201cConvergence analysis of some algorithms for solving nonsmooth equations,\u201d Math. Oper. Res., Vol. 18, pp. 227\u2013244, 1993.","journal-title":"Math. Oper. Res."},{"key":"650_CR9","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L. Qi","year":"1993","unstructured":"L. Qi and J. Sun, \u201cA Nonsmooth version of Newton\u2019s method,\u201d Mathematical Programming, Vol. 58, pp. 353\u2013367, 1993.","journal-title":"Mathematical Programming"},{"key":"650_CR10","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"L. Rudin, S. Osher and E. Fatemi, \u201cNonlinear total variation based noise removal algorithm,\u201d Physica D, Vol. 60, pp. 259\u2013268, 1992.","journal-title":"Physica D"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-007-0650-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-007-0650-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-007-0650-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T02:31:09Z","timestamp":1559269869000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-007-0650-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3,7]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,4]]}},"alternative-id":["650"],"URL":"https:\/\/doi.org\/10.1007\/s10851-007-0650-0","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,3,7]]}}}