{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T23:05:08Z","timestamp":1707260708232},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,3,10]],"date-time":"2015-03-10T00:00:00Z","timestamp":1425945600000},"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":["J Glob Optim"],"published-print":{"date-parts":[[2015,8]]},"DOI":"10.1007\/s10898-015-0287-2","type":"journal-article","created":{"date-parts":[[2015,3,9]],"date-time":"2015-03-09T10:29:44Z","timestamp":1425896984000},"page":"711-728","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A proximal alternating direction method of multipliers for a minimization problem with nonconvex constraints"],"prefix":"10.1007","volume":"62","author":[{"given":"Zheng","family":"Peng","sequence":"first","affiliation":[]},{"given":"Jianli","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Wenxing","family":"Zhu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,3,10]]},"reference":[{"issue":"3","key":"287_CR1","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1023\/A:1020321209606","volume":"24","author":"AS Antipin","year":"2002","unstructured":"Antipin, A.S.: Gradient approach of computing fixed points of equilibrium problems. J. Glob. Optim. 24(3), 285\u2013309 (2002)","journal-title":"J. Glob. Optim."},{"key":"287_CR2","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/s10107-007-0152-2","volume":"120","author":"AS Antipin","year":"2009","unstructured":"Antipin, A.S.: Extra-proximal methods for solving two-person nonzero-sum games. Math. Program. 120, 147\u2013177 (2009)","journal-title":"Math. Program."},{"key":"287_CR3","doi-asserted-by":"crossref","unstructured":"Agnihotri, A.R., Ono, S., Li, C., Yildiz, M.C., Khatkhate, A., Koh, C.K., Madden, P.H.: Recursive bisection placement: feng shui 5.0 implementation detail. In: Proceeding of the International Symposium on Physical Design, pp. 230\u2013232 (2005)","DOI":"10.1145\/1055137.1055186"},{"key":"287_CR4","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex Optimization","author":"S Boyd","year":"2004","unstructured":"Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)"},{"issue":"1","key":"287_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1561\/2200000016","volume":"3","author":"S Boyd","year":"2010","unstructured":"Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1\u2013122 (2010)","journal-title":"Found. Trends Mach. Learn."},{"issue":"3","key":"287_CR6","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1137\/0804031","volume":"4","author":"DP Bertesekas","year":"1994","unstructured":"Bertesekas, D.P., Tseng, P.: Partial proximal minimization algorithms for convex programming. SIAM J. Optim. 4(3), 551\u2013572 (1994)","journal-title":"SIAM J. Optim."},{"key":"287_CR7","volume-title":"Constrained Optimization and Lagrange Multiplier Methods","author":"DP Bertesekas","year":"1996","unstructured":"Bertesekas, D.P.: Constrained Optimization and Lagrange Multiplier Methods. Academic Press. Inc., New York (1996)"},{"key":"287_CR8","doi-asserted-by":"crossref","unstructured":"Chan, T., Cong, J., Shinnerl, J., Sze, K., Xie, M.: mPL6: Enhanced multilevel mixed-sized placement. In: Proceeding of the International Symposium on Physical Design, pp. 212\u2013214 (2006)","DOI":"10.1145\/1123008.1123055"},{"key":"287_CR9","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1093\/imanum\/drq039","volume":"32","author":"CH Chen","year":"2012","unstructured":"Chen, C.H., He, B.S., Yuan, X.M.: Matrix completion via alternating direction methods. IMA J. Numer. Anal. 32, 227\u2013245 (2012)","journal-title":"IMA J. Numer. Anal."},{"issue":"7","key":"287_CR10","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1109\/TCAD.2008.923063","volume":"27","author":"TC Chen","year":"2008","unstructured":"Chen, T.C., Jiang, Z.W., Hsu, T.C., Chen, H.C., Chang, Y.W.: NTUplace3: an analytical placer for large-scale mixed-size design with preplaced blocks and density constraints. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(7), 1228\u20131240 (2008)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"287_CR11","doi-asserted-by":"crossref","unstructured":"Chu, C.: Placement. In: Wang L.T., Chang Y.W., Cheng K.T. (eds.) Electronic Design Automation: Synthesis, Verification, and Testing, chap. 11, pp. 635\u2013684. Elsevier, Morgan Kaufmann (2008)","DOI":"10.1016\/B978-0-12-374364-0.50018-7"},{"issue":"4","key":"287_CR12","first-page":"815","volume":"4","author":"YW Chang","year":"2009","unstructured":"Chang, Y.W., Jiang, Z.W., Chen, T.C.: Essential issues in analytical placement algorithms. Inf. Media Technol. 4(4), 815\u2013836 (2009)","journal-title":"Inf. Media Technol."},{"issue":"1\u20133","key":"287_CR13","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/BF01581204","volume":"55","author":"J Eckstein","year":"1992","unstructured":"Eckstein, J., Bertsekas, D.P.: On the Douglas\u2013Rachford splitting method and the proximal point algorithm for maximal monotone operators. Math. Program. 55(1\u20133), 293\u2013318 (1992)","journal-title":"Math. Program."},{"key":"287_CR14","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1080\/10556789408805578","volume":"4","author":"J Eckstein","year":"1994","unstructured":"Eckstein, J.: Some saddle-function splitting methods for convex programming. Optim. Methods Softw. 4, 75\u201383 (1994)","journal-title":"Optim. Methods Softw."},{"key":"287_CR15","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/978-1-4613-3632-7_7","volume-title":"Large Scale Optimization: State of the Art","author":"J Eckstein","year":"1994","unstructured":"Eckstein, J., Fukushima, M.: Some reformulations and applications of the alternating direction method of multipliers. In: Hager, W.W., Hearn, D.W., Pardalos, Panos M. (eds.) Large Scale Optimization: State of the Art, pp. 115\u2013134. Kluwer Academic Publishers, Dordrecht (1994)"},{"key":"287_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12613-4","volume-title":"Numerical Methods for Nonlinear Variational Problems","author":"R Glowinski","year":"1984","unstructured":"Glowinski, R.: Numerical Methods for Nonlinear Variational Problems. Springer, New York (1984)"},{"issue":"1","key":"287_CR17","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s101070100280","volume":"92","author":"BS He","year":"2002","unstructured":"He, B.S., Liao, L.Z., Han, D.R., Yang, H.: A new inexact alternating directions method for monotone variational inequalities. Math. Program. 92(1), 103\u2013118 (2002)","journal-title":"Math. Program."},{"key":"287_CR18","first-page":"693","volume":"24","author":"BS He","year":"2006","unstructured":"He, B.S., Liao, L.Z., Qian, M.J.: Alternating projection based prediction-correction methods for structured variational inequalities. J. Comput. Math. 24, 693\u2013710 (2006)","journal-title":"J. Comput. Math."},{"issue":"1","key":"287_CR19","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/BF00940531","volume":"66","author":"S Karamardian","year":"1990","unstructured":"Karamardian, S., Schaible, S.: Seven kinds of monotone maps. J. Optim. Theory Appl. 66(1), 37\u201346 (1990)","journal-title":"J. Optim. Theory Appl."},{"key":"287_CR20","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1023\/A:1008321423879","volume":"13","author":"A Kaplan","year":"1998","unstructured":"Kaplan, A., Tichatschke, R.: Proximal point methods and nonconvex optimization. J. Glob. Optim. 13, 389\u2013406 (1998)","journal-title":"J. Glob. Optim."},{"key":"287_CR21","first-page":"154","volume":"4","author":"B Martinet","year":"1970","unstructured":"Martinet, B.: Regularisation d\u2019indquations variationelles par approximations successives. Revue Francaise d\u2019Automatique et Informatique Recherche Op\u00e9rationelle 4, 154\u2013159 (1970)","journal-title":"Revue Francaise d\u2019Automatique et Informatique Recherche Op\u00e9rationelle"},{"key":"287_CR22","first-page":"163","volume":"274","author":"B Martinet","year":"1972","unstructured":"Martinet, B.: Determination approch $$\\acute{e}$$ e \u00b4 e d\u2019un point fixe d\u2019une application pseudo-contractante. Compte Rendu Academie des Sciences de Paris 274, 163\u2013165 (1972)","journal-title":"Compte Rendu Academie des Sciences de Paris"},{"key":"287_CR23","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization, 2nd edn. Springer Science & Business Media, LLC (2006)","edition":"2"},{"key":"287_CR24","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1137\/0314056","volume":"14","author":"RT Rockafellar","year":"1976","unstructured":"Rockafellar, R.T.: Monotone operators and the proximal point algorithm. SIAM J. Control Optim. 14, 877\u2013898 (1976)","journal-title":"SIAM J. Control Optim."},{"key":"287_CR25","doi-asserted-by":"crossref","unstructured":"Roy, J.A., Papa, D.A., Adya, S.N., Chan, H.H., Ng, A.N., Lu, J.F., Markov, I.L.: Capo: robust and scalable open-source min-cut floorplacer. In: Proceeding of International Symposium on Physical Design, pp. 224\u2013227 (2005)","DOI":"10.1145\/1055137.1055184"},{"key":"287_CR26","doi-asserted-by":"crossref","unstructured":"Viswanathan, N., Pan, M., Chu, C.: Fastplace3.0: a fast multilevel quadratic placement algorithm with placement congestion control. In: Proceeding of Asia and South Pacific Design Automation Conference, pp. 135\u2013140 (2007)","DOI":"10.1109\/ASPDAC.2007.357975"},{"issue":"1","key":"287_CR27","first-page":"107","volume":"134","author":"MH Xu","year":"2009","unstructured":"Xu, M.H.: Proximal alternating directions method for structured variational inequalities. J. Optim. Theory Appl. 134(1), 107\u2013117 (2009)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"287_CR28","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1137\/120864192","volume":"23","author":"JF Yang","year":"2013","unstructured":"Yang, J.F., Sun, D.F., Toh, K.C.: A proximal point algorithm for log-determinant optimization with group Lasso regularization. SIAM J. Optim. 23(2), 857\u2013893 (2013)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"287_CR29","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/s10589-009-9293-y","volume":"49","author":"XM Yuan","year":"2011","unstructured":"Yuan, X.M.: An improved proximal alternating direction method for monotone variational inequalities with separable structure. Comput. Optim. Appl. 49(1), 17\u201329 (2011)","journal-title":"Comput. Optim. Appl."},{"key":"287_CR30","unstructured":"IBM standard cell benchmarks, available online at: http:\/\/vlsicad.eecs.umich.edu\/BK\/Slots\/cache\/www.public.iastate.edu\/nataraj\/ISPD04-Bench.html"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0287-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-015-0287-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0287-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,21]],"date-time":"2019-08-21T19:44:40Z","timestamp":1566416680000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-015-0287-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,10]]},"references-count":30,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,8]]}},"alternative-id":["287"],"URL":"https:\/\/doi.org\/10.1007\/s10898-015-0287-2","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,10]]}}}