{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T18:12:19Z","timestamp":1773771139451,"version":"3.50.1"},"reference-count":59,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,6,9]],"date-time":"2018-06-09T00:00:00Z","timestamp":1528502400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s10589-018-0011-5","type":"journal-article","created":{"date-parts":[[2018,6,9]],"date-time":"2018-06-09T10:10:57Z","timestamp":1528539057000},"page":"5-52","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["A block coordinate variable metric linesearch based proximal gradient method"],"prefix":"10.1007","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2936-365X","authenticated-orcid":false,"given":"S.","family":"Bonettini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7327-3347","authenticated-orcid":false,"given":"M.","family":"Prato","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Rebegoldi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,6,9]]},"reference":[{"issue":"3","key":"11_CR1","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1007\/s10851-016-0696-y","volume":"59","author":"F Abboud","year":"2017","unstructured":"Abboud, F., Chouzenoux, E., Pesquet, J.C., Chenot, J.H., Laborelli, L.: Dual block coordinate forward\u2013backward algorithm with application to deconvolution and deinterlacing of video sequences. J. Math. Imaging Vis. 59(3), 415\u2013431 (2017)","journal-title":"J. Math. Imaging Vis."},{"issue":"1","key":"11_CR2","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1109\/TIP.2009.2031231","volume":"19","author":"MSC Almeida","year":"2010","unstructured":"Almeida, M.S.C., Almeida, L.B.: Blind and semi-blind deblurring of natural images. IEEE Trans. Image Process. 19(1), 36\u201352 (2010)","journal-title":"IEEE Trans. Image Process."},{"issue":"1\u20132","key":"11_CR3","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/s10107-007-0133-5","volume":"116","author":"H Attouch","year":"2009","unstructured":"Attouch, H., Bolte, J.: On the convergence of the proximal algorithm for nonsmooth functions involving analytic features. Math. Program. 116(1\u20132), 5\u201316 (2009)","journal-title":"Math. Program."},{"issue":"2","key":"11_CR4","doi-asserted-by":"publisher","first-page":"438","DOI":"10.1287\/moor.1100.0449","volume":"35","author":"H Attouch","year":"2010","unstructured":"Attouch, H., Bolte, J., Redont, P., Soubeyran, A.: Proximal alternating minimization and projection methods for nonconvex problems: an approach based on the Kurdyka-\u0141ojasiewicz inequality. Math. Oper. Res. 35(2), 438\u2013457 (2010)","journal-title":"Math. Oper. Res."},{"issue":"1\u20132","key":"11_CR5","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/s10107-011-0484-9","volume":"137","author":"H Attouch","year":"2013","unstructured":"Attouch, H., Bolte, J., Svaiter, B.F.: Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward\u2013backward splitting, and regularized Gauss\u2013Seidel methods. Math. Program. 137(1\u20132), 91\u2013129 (2013)","journal-title":"Math. Program."},{"issue":"7","key":"11_CR6","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1364\/OL.13.000547","volume":"13","author":"GR Ayers","year":"1988","unstructured":"Ayers, G.R., Dainty, J.C.: Iterative blind deconvolution method and its applications. Opt. Lett. 13(7), 547\u2013549 (1988)","journal-title":"Opt. Lett."},{"issue":"1","key":"11_CR7","first-page":"330","volume":"4","author":"HH Bauschke","year":"2016","unstructured":"Bauschke, H.H., Bolte, J., Teboulle, M.: A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Math. Oper. Res. 4(1), 330\u2013348 (2016)","journal-title":"Math. Oper. Res."},{"issue":"4","key":"11_CR8","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1088\/0266-5611\/14\/4\/004","volume":"14","author":"M Bertero","year":"1998","unstructured":"Bertero, M., Bindi, D., Boccacci, P., Cattaneo, M., Eva, C., Lanza, V.: A novel blind-deconvolution method with an application to seismology. Inverse Probl. 14(4), 815\u2013833 (1998)","journal-title":"Inverse Probl."},{"issue":"12","key":"11_CR9","doi-asserted-by":"publisher","first-page":"123006","DOI":"10.1088\/0266-5611\/25\/12\/123006","volume":"25","author":"M Bertero","year":"2009","unstructured":"Bertero, M., Boccacci, P., Desider\u00e0, G., Vicidomini, G.: Image deblurring with Poisson data: from cells to galaxies. Inverse Probl. 25(12), 123006 (2009)","journal-title":"Inverse Probl."},{"key":"11_CR10","first-page":"37","volume-title":"Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT)","author":"M Bertero","year":"2008","unstructured":"Bertero, M., Lant\u00e9ri, H., Zanni, L.: Iterative image reconstruction: a point of view. In: Censor, Y., Jiang, M., Louis, A.K. (eds.) Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), pp. 37\u201363. Birkhauser, Pisa (2008)"},{"key":"11_CR11","volume-title":"Nonlinear Programming","author":"D Bertsekas","year":"1999","unstructured":"Bertsekas, D.: Nonlinear Programming. Athena Scientific, Belmont (1999)"},{"key":"11_CR12","doi-asserted-by":"crossref","unstructured":"Bolte, J., Combettes, P.L., Pesquet, J.C.: Alternating proximal algorithm for blind image recovery. In: Proceedings of the 17th International Conference on Image Processing, pp. 1673\u20131676 (2010)","DOI":"10.1109\/ICIP.2010.5652173"},{"issue":"6","key":"11_CR13","doi-asserted-by":"publisher","first-page":"3319","DOI":"10.1090\/S0002-9947-09-05048-X","volume":"362","author":"J Bolte","year":"2010","unstructured":"Bolte, J., Daniilidis, A., Ley, O., Mazet, L.: Characterizations of \u0141ojasiewicz inequalities: subgradient flows, talweg, convexity. Trans. Am. Math. Soc. 362(6), 3319\u20133363 (2010)","journal-title":"Trans. Am. Math. Soc."},{"issue":"1\u20132","key":"11_CR14","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1007\/s10107-013-0701-9","volume":"146","author":"J Bolte","year":"2014","unstructured":"Bolte, J., Sabach, S., Teboulle, M.: Proximal alternating linearized minimization for nonconvex and nonsmooth problems. Math. Program. 146(1\u20132), 459\u2013494 (2014)","journal-title":"Math. Program."},{"issue":"4","key":"11_CR15","doi-asserted-by":"publisher","first-page":"1431","DOI":"10.1093\/imanum\/drq024","volume":"31","author":"S Bonettini","year":"2011","unstructured":"Bonettini, S.: Inexact block coordinate descent methods with application to the nonnegative matrix factorization. IMA J. Numer. Anal. 31(4), 1431\u20131452 (2011)","journal-title":"IMA J. Numer. Anal."},{"issue":"3","key":"11_CR16","doi-asserted-by":"publisher","first-page":"1736","DOI":"10.1137\/120873169","volume":"6","author":"S Bonettini","year":"2013","unstructured":"Bonettini, S., Cornelio, A., Prato, M.: A new semiblind deconvolution approach for Fourier-based image restoration: an application in astronomy. SIAM J. Imaging Sci. 6(3), 1736\u20131757 (2013)","journal-title":"SIAM J. Imaging Sci."},{"issue":"2","key":"11_CR17","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1137\/15M1019325","volume":"26","author":"S Bonettini","year":"2016","unstructured":"Bonettini, S., Loris, I., Porta, F., Prato, M.: Variable metric inexact line-search based methods for nonsmooth optimization. SIAM J. Optim. 26(2), 891\u2013921 (2016)","journal-title":"SIAM J. Optim."},{"issue":"5","key":"11_CR18","doi-asserted-by":"publisher","first-page":"055005","DOI":"10.1088\/1361-6420\/aa5bfd","volume":"33","author":"S Bonettini","year":"2017","unstructured":"Bonettini, S., Loris, I., Porta, F., Prato, M., Rebegoldi, S.: On the convergence of a linesearch based proximal-gradient method for nonconvex optimization. Inverse Probl. 33(5), 055005 (2017)","journal-title":"Inverse Probl."},{"issue":"9","key":"11_CR19","doi-asserted-by":"publisher","first-page":"095008","DOI":"10.1088\/0266-5611\/31\/9\/095008","volume":"31","author":"S Bonettini","year":"2015","unstructured":"Bonettini, S., Prato, M.: New convergence results for the scaled gradient projection method. Inverse Probl. 31(9), 095008 (2015)","journal-title":"Inverse Probl."},{"key":"11_CR20","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/j.amc.2016.04.031","volume":"286","author":"S Bonettini","year":"2016","unstructured":"Bonettini, S., Prato, M., Rebegoldi, S.: A cyclic block coordinate descent method with generalized gradient projections. Appl. Math. Comput. 286, 288\u2013300 (2016)","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"11_CR21","doi-asserted-by":"publisher","first-page":"015002","DOI":"10.1088\/0266-5611\/25\/1\/015002","volume":"25","author":"S Bonettini","year":"2009","unstructured":"Bonettini, S., Zanella, R., Zanni, L.: A scaled gradient projection method for constrained image deblurring. Inverse Probl. 25(1), 015002 (2009)","journal-title":"Inverse Probl."},{"issue":"2","key":"11_CR22","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1016\/j.ejor.2013.05.049","volume":"231","author":"A Cassioli","year":"2013","unstructured":"Cassioli, A., Di Lorenzo, D., Sciandrone, M.: On the convergence of inexact block coordinate descent methods for constrained optimization. Eur. J. Oper. Res. 231(2), 274\u2013281 (2013)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"11_CR23","doi-asserted-by":"publisher","first-page":"968","DOI":"10.1007\/s10957-015-0746-4","volume":"166","author":"A Chambolle","year":"2015","unstructured":"Chambolle, A., Dossal, C.: On the convergence of the iterates of the \u201cFast Iterative Shrinkage\/Thresholding Algorithm\u201d. J. Optim. Theory Appl. 166(3), 968\u2013982 (2015)","journal-title":"J. Optim. Theory Appl."},{"issue":"18","key":"11_CR24","doi-asserted-by":"publisher","first-page":"4770","DOI":"10.1109\/TSP.2017.2709265","volume":"65","author":"E Chouzenoux","year":"2017","unstructured":"Chouzenoux, E., Pesquet, J.C.: A stochastic majorize-minimize subspace algorithm for online penalized least squares estimation. IEEE Trans. Signal Process. 65(18), 4770\u20134783 (2017)","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"11_CR25","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s10957-013-0465-7","volume":"162","author":"E Chouzenoux","year":"2014","unstructured":"Chouzenoux, E., Pesquet, J.C., Repetti, A.: Variable metric forward\u2013backward algorithm for minimizing the sum of a differentiable function and a convex function. J. Optim. Theory Appl. 162(1), 107\u2013132 (2014)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"11_CR26","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1007\/s10898-016-0405-9","volume":"66","author":"E Chouzenoux","year":"2016","unstructured":"Chouzenoux, E., Pesquet, J.C., Repetti, A.: A block coordinate variable metric forward\u2013backward algorithm. J. Glob. Optim. 66(3), 457\u2013485 (2016)","journal-title":"J. Glob. Optim."},{"key":"11_CR27","series-title":"Springer Optimization and Its Applications","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/978-1-4419-9569-8_10","volume-title":"Fixed-Point Algorithms for Inverse Problems in Science and Engineering","author":"PL Combettes","year":"2011","unstructured":"Combettes, P.L., Pesquet, J.C.: Proximal splitting methods in signal processing. In: Bauschke, H.H., Burachik, R.S., Combettes, P.L., Elser, V., Luke, D.R., Wolkowicz, H. (eds.) Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Springer Optimization and Its Applications, pp. 185\u2013212. Springer, New York (2011)"},{"key":"11_CR28","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.amc.2015.02.048","volume":"259","author":"A Cornelio","year":"2015","unstructured":"Cornelio, A., Porta, F., Prato, M.: A convergent least-squares regularized blind deconvolution approach. Appl. Math. Comput. 259, 173\u2013186 (2015)","journal-title":"Appl. Math. Comput."},{"key":"11_CR29","doi-asserted-by":"crossref","unstructured":"Fessler, J.A., Erdogan, H.: A paraboloidal surrogates algorithm for convergent penalized\u2013likelihood emission image reconstruction. In: 1998 IEEE Nuclear Science Symposium Conference Record, pp. 1132\u20131135 (1998)","DOI":"10.1109\/NSSMIC.1998.774361"},{"issue":"3","key":"11_CR30","doi-asserted-by":"publisher","first-page":"874","DOI":"10.1007\/s10957-014-0642-3","volume":"165","author":"P Frankel","year":"2015","unstructured":"Frankel, P., Garrigos, G., Peypouquet, J.: Splitting methods with variable metric for Kurdyka-\u0141ojasiewicz functions and general convergence rates. J. Opt. Theory Appl. 165(3), 874\u2013900 (2015)","journal-title":"J. Opt. Theory Appl."},{"issue":"4","key":"11_CR31","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1080\/10556789908805730","volume":"10","author":"L Grippo","year":"1999","unstructured":"Grippo, L., Sciandrone, M.: Globally convergent block-coordinate techniques for unconstrained optimization. Optim. Method Softw. 10(4), 587\u2013637 (1999)","journal-title":"Optim. Method Softw."},{"issue":"3","key":"11_CR32","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/S0167-6377(99)00074-7","volume":"26","author":"L Grippo","year":"2000","unstructured":"Grippo, L., Sciandrone, M.: On the convergence of the block nonlinear Gauss\u2013Seidel method under convex constraints. Oper. Res. Lett. 26(3), 127\u2013136 (2000)","journal-title":"Oper. Res. Lett."},{"issue":"3","key":"11_CR33","doi-asserted-by":"publisher","first-page":"1084","DOI":"10.1109\/TIP.2011.2168410","volume":"21","author":"Z Harmany","year":"2012","unstructured":"Harmany, Z., Marcia, R., Willett, R.: This is SPIRAL-TAP: sparse Poisson intensity reconstruction algorithms\u2014theory and practice. IEEE Trans. Image Process. 21(3), 1084\u20131096 (2012)","journal-title":"IEEE Trans. Image Process."},{"key":"11_CR34","volume-title":"Convex Analysis and Minimization Algorithms","author":"JB Hiriart-Urruty","year":"1993","unstructured":"Hiriart-Urruty, J.B., Lemar\u00e9chal, C.: Convex Analysis and Minimization Algorithms. Springer, New York (1993)"},{"issue":"3","key":"11_CR35","doi-asserted-by":"publisher","first-page":"769","DOI":"10.5802\/aif.1638","volume":"48","author":"K Kurdyka","year":"1998","unstructured":"Kurdyka, K.: On gradients of functions definable in o-minimal structures. Ann. Inst. Fourier 48(3), 769\u2013783 (1998)","journal-title":"Ann. Inst. Fourier"},{"issue":"5","key":"11_CR36","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1016\/S0165-1684(00)00275-9","volume":"81","author":"H Lant\u00e9ri","year":"2001","unstructured":"Lant\u00e9ri, H., Roche, M., Cuevas, O., Aime, C.: A general method to devise maximum likelihood signal restoration multiplicative algorithms with non-negativity constraints. Signal Process. 81(5), 945\u2013974 (2001)","journal-title":"Signal Process."},{"key":"11_CR37","unstructured":"Lee, D., Seung, H.: Algorithms for non-negative matrix factorization. In: NIPS, pp. 556\u2013562. MIT Press (2000)"},{"issue":"10","key":"11_CR38","doi-asserted-by":"publisher","first-page":"2756","DOI":"10.1162\/neco.2007.19.10.2756","volume":"19","author":"CJ Lin","year":"2007","unstructured":"Lin, C.J.: Projected gradient methods for nonnegative matrix factorization. Neural Comput. 19(10), 2756\u20132779 (2007)","journal-title":"Neural Comput."},{"key":"11_CR39","unstructured":"\u0141ojasiewicz, S.: Une propri\u00e9t\u00e9 topologique des sous-ensembles analytiques r\u00e9els. In: Les \u00c9quations aux D\u00e9riv\u00e9es Partielles, pp. 87\u201389. \u00c9ditions du Centre National de la Recherche Scientifique, Paris (1963)"},{"issue":"6","key":"11_CR40","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1086\/111605","volume":"79","author":"LB Lucy","year":"1974","unstructured":"Lucy, L.B.: An iterative technique for the rectification of observed distributions. Astronom. J. 79(6), 745\u2013754 (1974)","journal-title":"Astronom. J."},{"issue":"2","key":"11_CR41","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1007\/s10957-013-0391-8","volume":"160","author":"D Noll","year":"2014","unstructured":"Noll, D.: Convergence of non-smooth descent methods using the Kurdyka-\u0141ojasiewicz inequality. J. Opt. Theory Appl. 160(2), 553\u2013572 (2014)","journal-title":"J. Opt. Theory Appl."},{"key":"11_CR42","unstructured":"Ochs, P.: Unifying abstract inexact convergence theorems for descent methods and block coordinate variable metric iPiano (2016). arXiv:1602.07283"},{"issue":"2","key":"11_CR43","doi-asserted-by":"publisher","first-page":"1388","DOI":"10.1137\/130942954","volume":"7","author":"P Ochs","year":"2014","unstructured":"Ochs, P., Chen, Y., Brox, T., Pock, T.: iPiano: inertial proximal algorithm for non-convex optimization. SIAM J. Imaging Sci. 7(2), 1388\u20131419 (2014)","journal-title":"SIAM J. Imaging Sci."},{"key":"11_CR44","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.amc.2014.12.079","volume":"253","author":"F Porta","year":"2015","unstructured":"Porta, F., Loris, I.: On some steplength approaches for proximal algorithms. Appl. Math. Comput. 253, 345\u2013362 (2015)","journal-title":"Appl. Math. Comput."},{"issue":"6","key":"11_CR45","doi-asserted-by":"publisher","first-page":"065017","DOI":"10.1088\/0266-5611\/29\/6\/065017","volume":"29","author":"M Prato","year":"2013","unstructured":"Prato, M., Camera, A.L., Bonettini, S., Bertero, M.: A convergent blind deconvolution method for post-adaptive-optics astronomical imaging. Inverse Probl. 29(6), 065017 (2013)","journal-title":"Inverse Probl."},{"key":"11_CR46","doi-asserted-by":"publisher","first-page":"A133","DOI":"10.1051\/0004-6361\/201118681","volume":"539","author":"M Prato","year":"2012","unstructured":"Prato, M., Cavicchioli, R., Zanni, L., Boccacci, P., Bertero, M.: Efficient deconvolution methods for astronomical imaging: algorithms and IDL-GPU codes. Astron. Astrophys. 539, A133 (2012)","journal-title":"Astron. Astrophys."},{"key":"11_CR47","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.newast.2015.03.006","volume":"40","author":"M Prato","year":"2015","unstructured":"Prato, M., La Camera, A., Bonettini, S., Rebegoldi, S., Bertero, M., Boccacci, P.: A blind deconvolution method for ground based telescopes and Fizeau interferometers. New Astron. 40, 1\u201313 (2015)","journal-title":"New Astron."},{"issue":"2","key":"11_CR48","doi-asserted-by":"publisher","first-page":"1126","DOI":"10.1137\/120891009","volume":"23","author":"M Razaviyayn","year":"2013","unstructured":"Razaviyayn, M., Hong, M., Luo, Z.Q.: A unified convergence analysis of block successive minimization methods for nonsmooth optimization. SIAM J. Optim. 23(2), 1126\u20131153 (2013)","journal-title":"SIAM J. Optim."},{"key":"11_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar, R.T., Wets, R.J.B., Wets, M.: Variational Analysis. Springer, Berlin (1998)"},{"issue":"1\u20134","key":"11_CR50","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. J. Phys. D. 60(1\u20134), 259\u2013268 (1992)","journal-title":"J. Phys. D."},{"issue":"4","key":"11_CR51","doi-asserted-by":"publisher","first-page":"2153","DOI":"10.1137\/16M1073741","volume":"27","author":"S Salzo","year":"2017","unstructured":"Salzo, S.: The variable metric forward\u2013backward splitting algorithm under mild differentiability assumptions. SIAM J. Optim. 27(4), 2153\u20132181 (2017)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"11_CR52","first-page":"1167","volume":"19","author":"S Salzo","year":"2012","unstructured":"Salzo, S., Villa, S.: Inexact and accelerated proximal point algorithms. J. Convex Anal. 19(4), 1167\u20131192 (2012)","journal-title":"J. Convex Anal."},{"key":"11_CR53","unstructured":"Shen, X., Diamond, S., Udell, M., Gu, Y., Boyd, S.: Disciplined multi-convex programming (2016). arXiv:1609.03285"},{"issue":"12","key":"11_CR54","doi-asserted-by":"publisher","first-page":"125003","DOI":"10.1088\/0266-5611\/27\/12\/125003","volume":"27","author":"A Staglian\u00f2","year":"2011","unstructured":"Staglian\u00f2, A., Boccacci, P., Bertero, M.: Analysis of an approximate model for Poisson data reconstruction and a related discrepancy principle. Inverse Probl. 27(12), 125003 (2011)","journal-title":"Inverse Probl."},{"key":"11_CR55","volume-title":"Solution of Ill Posed Problems","author":"NA Tikhonov","year":"1977","unstructured":"Tikhonov, N.A., Arsenin, V.Y.: Solution of Ill Posed Problems. Wiley, New York (1977)"},{"issue":"1\u20132","key":"11_CR56","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1007\/s10107-007-0170-0","volume":"117","author":"P Tseng","year":"2009","unstructured":"Tseng, P., Yun, S.: A coordinate gradient descent method for nonsmooth separable minimization. Math. Program. 117(1\u20132), 387\u2013423 (2009)","journal-title":"Math. Program."},{"issue":"3","key":"11_CR57","doi-asserted-by":"publisher","first-page":"1607","DOI":"10.1137\/110844805","volume":"23","author":"S Villa","year":"2013","unstructured":"Villa, S., Salzo, S., Baldassarre, L., Verri, A.: Accelerated and inexact forward\u2013backward algorithms. SIAM J. Optim. 23(3), 1607\u20131633 (2013)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"11_CR58","doi-asserted-by":"publisher","first-page":"1758","DOI":"10.1137\/120887795","volume":"6","author":"Y Xu","year":"2013","unstructured":"Xu, Y., Yin, W.: A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion. SIAM J. Imaging Sci. 6(3), 1758\u20131789 (2013)","journal-title":"SIAM J. Imaging Sci."},{"key":"11_CR59","doi-asserted-by":"publisher","DOI":"10.1142\/5021","volume-title":"Convex Analysis in General Vector Spaces","author":"A Zalinescu","year":"2002","unstructured":"Zalinescu, A.: Convex Analysis in General Vector Spaces. World Scientific Publishing Co., Inc., River Edge (2002)"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-018-0011-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-018-0011-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-018-0011-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,5]],"date-time":"2025-07-05T01:51:10Z","timestamp":1751680270000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-018-0011-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,9]]},"references-count":59,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,9]]}},"alternative-id":["11"],"URL":"https:\/\/doi.org\/10.1007\/s10589-018-0011-5","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,9]]},"assertion":[{"value":"22 May 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 June 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}