{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,12]],"date-time":"2025-07-12T01:20:30Z","timestamp":1752283230993,"version":"3.37.3"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T00:00:00Z","timestamp":1560470400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T00:00:00Z","timestamp":1560470400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"European Research Council","award":["755445"],"award-info":[{"award-number":["755445"]}]},{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["755445"],"award-info":[{"award-number":["755445"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s10957-019-01542-7","type":"journal-article","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T10:26:28Z","timestamp":1560507988000},"page":"1088-1119","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An Inertial Parallel and Asynchronous Forward\u2013Backward Iteration for Distributed Convex Optimization"],"prefix":"10.1007","volume":"182","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2156-2953","authenticated-orcid":false,"given":"Giorgos","family":"Stathopoulos","sequence":"first","affiliation":[]},{"given":"Colin N.","family":"Jones","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,14]]},"reference":[{"issue":"9","key":"1542_CR1","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1080\/02331934.2012.733883","volume":"63","author":"PL Combettes","year":"2014","unstructured":"Combettes, P.L., V\u0169, B.C.: Variable metric forward\u2013backward splitting with applications to monotone inclusions in duality. Optimization 63(9), 1289\u20131318 (2014)","journal-title":"Optimization"},{"issue":"1","key":"1542_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1023\/A:1011253113155","volume":"9","author":"F Alvarez","year":"2001","unstructured":"Alvarez, F., Attouch, H.: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Set-Valued Anal. 9(1), 3\u201311 (2001)","journal-title":"Set-Valued Anal."},{"issue":"1","key":"1542_CR3","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1137\/140961134","volume":"25","author":"J Liu","year":"2015","unstructured":"Liu, J., Wright, S.J.: Asynchronous stochastic coordinate descent: parallelism and convergence properties. SIAM J. Optim. 25(1), 351\u2013376 (2015)","journal-title":"SIAM J. Optim."},{"issue":"5","key":"1542_CR4","doi-asserted-by":"publisher","first-page":"A2851","DOI":"10.1137\/15M1024950","volume":"38","author":"Z Peng","year":"2016","unstructured":"Peng, Z., Xu, Y., Yan, M., Yin, W.: ARock: an algorithmic framework for asynchronous parallel coordinate updates. SIAM J. Sci. Comput. 38(5), A2851\u2013A2879 (2016)","journal-title":"SIAM J. Sci. Comput."},{"key":"1542_CR5","volume-title":"Parallel and Distributed Computation","author":"DP Bertsekas","year":"1989","unstructured":"Bertsekas, D.P., Tsitsiklis, J.N.: Parallel and Distributed Computation. Prentice Hall Inc., New Jersey (1989)"},{"issue":"1","key":"1542_CR6","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s10107-015-0892-3","volume":"151","author":"SJ Wright","year":"2015","unstructured":"Wright, S.J.: Coordinate descent algorithms. Math. Program. 151(1), 3\u201334 (2015)","journal-title":"Math. Program."},{"key":"1542_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9467-7","volume-title":"Convex Analysis and Monotone Operator Theory in Hilbert Spaces","author":"H Bauschke","year":"2011","unstructured":"Bauschke, H., Combettes, P.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer, New York (2011)"},{"issue":"1","key":"1542_CR8","first-page":"3","volume":"15","author":"E Ruy","year":"2016","unstructured":"Ruy, E., Boyd, S.: A primer on monotone operator methods. Appl. Comput. Math. 15(1), 3\u201343 (2016)","journal-title":"Appl. Comput. Math."},{"issue":"5","key":"1542_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0041-5553(64)90137-5","volume":"4","author":"B Polyak","year":"1987","unstructured":"Polyak, B.: Some methods of speeding up the convergence of iteration methods. USSR Comput. Math. Math. Phys. 4(5), 1\u201317 (1987)","journal-title":"USSR Comput. Math. Math. Phys."},{"issue":"2","key":"1542_CR10","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/s10851-015-0565-0","volume":"53","author":"P Ochs","year":"2015","unstructured":"Ochs, P., Brox, T., Pock, T.: iPiasco: inertial proximal algorithm for strongly convex optimization. J. Math. Imaging Vis. 53(2), 171\u2013181 (2015)","journal-title":"J. Math. Imaging Vis."},{"issue":"2","key":"1542_CR11","doi-asserted-by":"publisher","first-page":"1035","DOI":"10.1137\/15M1049695","volume":"27","author":"M Gurbuzbalaban","year":"2017","unstructured":"Gurbuzbalaban, M., Ozdaglar, A., Parrilo, P.: On the convergence rate of incremental aggregated gradient algorithms. SIAM J. Optim. 27(2), 1035\u20131048 (2017)","journal-title":"SIAM J. Optim."},{"key":"1542_CR12","volume-title":"Introduction to Optimization","author":"B Polyak","year":"1987","unstructured":"Polyak, B.: Introduction to Optimization. Optimization Software Inc., Publication Division, New York (1987)"},{"key":"1542_CR13","doi-asserted-by":"crossref","unstructured":"Ghadimi, E., Feyzmahdavian, H.R., Johansson, M.: Global convergence of the heavy-ball method for convex optimization. In: 2015 European Control Conference (ECC), pp. 310\u2013315. IEEE (2015)","DOI":"10.1109\/ECC.2015.7330562"},{"issue":"2","key":"1542_CR14","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1016\/S0377-0427(02)00906-8","volume":"155","author":"A Moudafi","year":"2003","unstructured":"Moudafi, A., Oliny, M.: Convergence of a splitting inertial proximal method for monotone operators. J. Comput. Appl. Math. 155(2), 447\u2013454 (2003)","journal-title":"J. Comput. Appl. Math."},{"key":"1542_CR15","unstructured":"Krasnosel\u2019ski\u012d, A.: Two remarks on the method of successive approximations. Uspekhi Matematicheskikh Nauk 10(1), 123\u2013127 (1955)"},{"issue":"3","key":"1542_CR16","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1090\/S0002-9939-1953-0054846-3","volume":"4","author":"R Mann","year":"1953","unstructured":"Mann, R.: Mean value methods in iteration. Proc. Am. Math. Soc. 4(3), 506\u2013510 (1953)","journal-title":"Proc. Am. Math. Soc."},{"key":"1542_CR17","first-page":"1","volume":"159","author":"J Liang","year":"2014","unstructured":"Liang, J., Fadili, J., Peyr\u00e9, G.: Convergence rates with inexact non-expansive operators. Math. Program. 159, 1\u201332 (2014)","journal-title":"Math. Program."},{"issue":"3","key":"1542_CR18","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1137\/S1052623403427859","volume":"14","author":"F Alvarez","year":"2004","unstructured":"Alvarez, F.: Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. SIAM J. Optim. 14(3), 773\u2013782 (2004)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1542_CR19","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/j.cam.2007.07.021","volume":"219","author":"PE Maing\u00e9","year":"2008","unstructured":"Maing\u00e9, P.E.: Convergence theorems for inertial KM-type algorithms. J. Comput. Appl. Math. 219(1), 223\u2013236 (2008)","journal-title":"J. Comput. Appl. Math."},{"key":"1542_CR20","doi-asserted-by":"crossref","unstructured":"Iutzeler, F., Hendrickx, M.J.: A Generic Linear Rate Acceleration of Optimization algorithms via Relaxation and Inertia. arXiv preprint \n                    arXiv:1603.05398v2\n                    \n                   (2016)","DOI":"10.1080\/10556788.2017.1396601"},{"key":"1542_CR21","doi-asserted-by":"crossref","unstructured":"Feyzmahdavian, H.R., Aytekin, A., Johansson, M.: A delayed proximal gradient method with linear convergence rate. In: IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1\u20136 (2014)","DOI":"10.1109\/MLSP.2014.6958872"},{"key":"1542_CR22","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1007\/s10107-016-1044-0","volume":"168","author":"PL Combettes","year":"2016","unstructured":"Combettes, P.L., Eckstein, J.: Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. Math. Program. 168, 645\u2013672 (2016)","journal-title":"Math. Program."},{"key":"1542_CR23","unstructured":"Mishchenko, K., Iutzeler, F., Malick, J.: A Distributed Flexible Delay-tolerant Proximal Gradient Algorithm. arXiv preprint \n                    arXiv:1806.09429\n                    \n                   (2018)"},{"issue":"3","key":"1542_CR24","doi-asserted-by":"publisher","first-page":"1199","DOI":"10.1137\/120872802","volume":"6","author":"H Raguet","year":"2013","unstructured":"Raguet, H., Fadili, J., Peyr\u00e9, G.: A generalized forward\u2013backward splitting. SIAM J. Imaging Sci. 6(3), 1199\u20131226 (2013)","journal-title":"SIAM J. Imaging Sci."},{"issue":"4","key":"1542_CR25","doi-asserted-by":"publisher","first-page":"2706","DOI":"10.1137\/15M1018253","volume":"8","author":"H Raguet","year":"2015","unstructured":"Raguet, H., Landrieu, L.: Preconditioning of a generalized forward\u2013backward splitting and application to optimization on graphs. SIAM J. Imaging Sci. 8(4), 2706\u20132739 (2015)","journal-title":"SIAM J. Imaging Sci."},{"key":"1542_CR26","doi-asserted-by":"crossref","unstructured":"Briceno-Arias, L.M.: Forward-Douglas-Rachford splitting and forward-partial inverse method for solving monotone inclusions. arXiv preprint \n                    arXiv:1212.5942\n                    \n                   (2012)","DOI":"10.1080\/02331934.2013.855210"},{"key":"1542_CR27","doi-asserted-by":"crossref","unstructured":"Davis, D.: Convergence rate analysis of the forward-Douglas-Rachford splitting scheme. arXiv preprint \n                    arXiv:1410.2654\n                    \n                   (2015)","DOI":"10.1137\/140992291"},{"key":"1542_CR28","doi-asserted-by":"crossref","unstructured":"Combettes, P.L., Condat, L., Pesquet, J.C., V\u0169, B.C.: A forward\u2013backward view of some primal-dual optimization methods in image recovery. In: The IEEE International Conference on Image Processing, pp. 4141\u20134145 (2014)","DOI":"10.1109\/ICIP.2014.7025841"},{"issue":"2","key":"1542_CR29","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1137\/15M1020575","volume":"59","author":"I Dunning","year":"2017","unstructured":"Dunning, I., Huchette, J., Lubin, M.: Jump: a modeling language for mathematical optimization. SIAM Rev. 59(2), 295\u2013320 (2017)","journal-title":"SIAM Rev."},{"key":"1542_CR30","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1111\/j.1467-9868.2005.00503.x","volume":"67","author":"H Zou","year":"2005","unstructured":"Zou, H., Hastie, T.: Regularization and variable selection via the elastic net. J. R. Stat. Soc. Ser. B 67, 301\u2013320 (2005)","journal-title":"J. R. Stat. Soc. Ser. B"},{"key":"1542_CR31","doi-asserted-by":"crossref","unstructured":"Fabietti, L., Gorecki, T.T., Namor, E., Sossan, F., Paolone, M., Jones, C.N.: Dispatching active distribution networks through electrochemical storage systems and demand side management (2017)","DOI":"10.1109\/CCTA.2017.8062629"},{"key":"1542_CR32","doi-asserted-by":"crossref","unstructured":"Gorecki, T.T., Qureshi, F.A., Jones, C.N.: Openbuild: an integrated simulation environment for building control (2015)","DOI":"10.1109\/CCA.2015.7320826"},{"key":"1542_CR33","unstructured":"Swissgrid: Test for Secondary Control Capability. \n                    https:\/\/www.swissgrid.ch\/dam\/swissgrid\/customers\/topics\/ancillary-services\/prequalification\/4\/D171130-Test-for-secondary-control-capability-V3R0-EN.pdf\n                    \n                   (2003)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01542-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-019-01542-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01542-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,12]],"date-time":"2020-06-12T23:30:30Z","timestamp":1592004630000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-019-01542-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,14]]},"references-count":33,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["1542"],"URL":"https:\/\/doi.org\/10.1007\/s10957-019-01542-7","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2019,6,14]]},"assertion":[{"value":"4 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 June 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}