{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T14:36:38Z","timestamp":1700836598067},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,8,10]],"date-time":"2013-08-10T00:00:00Z","timestamp":1376092800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2014,1]]},"DOI":"10.1007\/s10589-013-9590-3","type":"journal-article","created":{"date-parts":[[2013,8,9]],"date-time":"2013-08-09T11:18:39Z","timestamp":1376047119000},"page":"45-69","source":"Crossref","is-referenced-by-count":13,"title":["Implementation of a block-decomposition algorithm for solving large-scale conic semidefinite programming problems"],"prefix":"10.1007","volume":"57","author":[{"given":"Renato D. C.","family":"Monteiro","sequence":"first","affiliation":[]},{"given":"Camilo","family":"Ortiz","sequence":"additional","affiliation":[]},{"given":"Benar F.","family":"Svaiter","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,8,10]]},"reference":[{"key":"9590_CR1","doi-asserted-by":"crossref","DOI":"10.1214\/EJP.v8-132","volume":"8","author":"A. Bottcher","year":"2003","unstructured":"Bottcher, A., Grudsky, S.: The norm of the product of a large matrix and a random vector. Electron. J. Probab. 8, 7 (2003), 29 p., electronic only. URL: http:\/\/eudml.org\/doc\/124759","journal-title":"Electron. J. Probab."},{"key":"9590_CR2","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1023\/A:1020639314056","volume":"10","author":"R.S.S. Burachik","year":"2002","unstructured":"Burachik, R.S.S., Svaiter, B.F.: Maximal monotone operators, convex functions and a special family of enlargements. Set-Valued Anal. 10, 297\u2013316 (2002). doi: 10.1023\/A:1020639314056","journal-title":"Set-Valued Anal."},{"key":"9590_CR3","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1023\/A:1008615624787","volume":"5","author":"R.S. Burachik","year":"1997","unstructured":"Burachik, R.S., Iusem, A.N., Svaiter, B.F.: Enlargement of monotone operators with applications to variational inequalities. Set-Valued Anal. 5, 159\u2013180 (1997). doi: 10.1023\/A:1008615624787","journal-title":"Set-Valued Anal."},{"key":"9590_CR4","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s10107-002-0353-7","volume":"95","author":"S. Burer","year":"2003","unstructured":"Burer, S., Monteiro, R.D.C., Zhang, Y.: A computational study of a gradient-based log-barrier algorithm for a class of large-scale SDPs. Math. Program. 95, 359\u2013379 (2003). doi: 10.1007\/s10107-002-0353-7","journal-title":"Math. Program."},{"key":"9590_CR5","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1007\/s10851-010-0251-1","volume":"40","author":"A. Chambolle","year":"2011","unstructured":"Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Math. Imaging Vis. 40, 120\u2013145 (2011). doi: 10.1007\/s10851-010-0251-1","journal-title":"J. Math. Imaging Vis."},{"key":"9590_CR6","doi-asserted-by":"crossref","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles (January 2002). doi: 10.1007\/s101070100263","DOI":"10.1007\/s101070100263"},{"issue":"1","key":"9590_CR7","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/0898-1221(76)90003-1","volume":"2","author":"D. Gabay","year":"1976","unstructured":"Gabay, D., Mercier, B.: A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Comput. Math. Appl. 2(1), 17\u201340 (1976). doi: 10.1016\/0898-1221(76)90003-1 . URL: http:\/\/www.sciencedirect.com\/science\/article\/pii\/0898122176900031","journal-title":"Comput. Math. Appl."},{"key":"9590_CR8","first-page":"41","volume":"2","author":"R. Glowinski","year":"1975","unstructured":"Glowinski, R., Marrocco, A.: Sur l\u2019approximation par \u00e9l\u00e9ments finis et la r\u00e9solution par p\u00e9nalisation-dualit\u00e9 d\u2019une classe de probl\u00e8mes de dirichlet non lin\u00e9aires. RAIRO. Anal. Num\u00e9r. 2, 41\u201376 (1975)","journal-title":"RAIRO. Anal. Num\u00e9r."},{"issue":"1","key":"9590_CR9","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1137\/070704575","volume":"20","author":"J. Malick","year":"2009","unstructured":"Malick, J., Povh, J., Rendl, F., Wiegele, A.: Regularization methods for semidefinite programming. SIAM J. Optim. 20(1), 336\u2013356 (2009). doi: 10.1137\/070704575","journal-title":"SIAM J. Optim."},{"issue":"6","key":"9590_CR10","doi-asserted-by":"crossref","first-page":"2755","DOI":"10.1137\/090753127","volume":"20","author":"R.D.C. Monteiro","year":"2010","unstructured":"Monteiro, R.D.C., Svaiter, B.F.: On the complexity of the hybrid proximal extragradient method for the iterates and the ergodic mean. SIAM J. Optim. 20(6), 2755\u20132787 (2010). doi: 10.1137\/090753127 . URL: http:\/\/link.aip.org\/link\/?SJE\/20\/2755\/1","journal-title":"SIAM J. Optim."},{"issue":"4","key":"9590_CR11","doi-asserted-by":"crossref","first-page":"1688","DOI":"10.1137\/100801652","volume":"21","author":"R.D.C. Monteiro","year":"2011","unstructured":"Monteiro, R.D.C., Svaiter, B.F.: Complexity of variants of Tseng\u2019s modified F-B splitting and Korpelevich\u2019s methods for hemivariational inequalities with applications to saddle-point and convex optimization problems. SIAM J. Optim. 21(4), 1688\u20131720 (2011). doi: 10.1137\/100801652 . URL: http:\/\/link.aip.org\/link\/?SJE\/21\/1688\/1","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9590_CR12","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1137\/110849468","volume":"23","author":"R. Monteiro","year":"2013","unstructured":"Monteiro, R., Svaiter, B.: Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers. SIAM J. Optim. 23(1), 475\u2013507 (2013). doi: 10.1137\/110849468","journal-title":"SIAM J. Optim."},{"key":"9590_CR13","unstructured":"Monteiro, R.D.C., Ortiz, C., Svaiter, B.F.: A first-order block-decomposition method for solving two-easy-block structured semidefinite programs. Optimization-online preprint 3544, pp. 1\u201333 (2012). URL: http:\/\/www.optimization-online.org\/DB_HTML\/2012\/07\/3544.html"},{"issue":"3","key":"9590_CR14","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.disopt.2009.01.002","volume":"6","author":"J. Povh","year":"2009","unstructured":"Povh, J., Rendl, F.: Copositive and semidefinite relaxations of the quadratic assignment problem. Discrete Optim. 6(3), 231\u2013241 (2009). doi: 10.1016\/j.disopt.2009.01.002 . URL: http:\/\/www.sciencedirect.com\/science\/article\/pii\/S1572528609000036","journal-title":"Discrete Optim."},{"key":"9590_CR15","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/s00607-006-0182-2","volume":"78","author":"J. Povh","year":"2006","unstructured":"Povh, J., Rendl, F., Wiegele, A.: A boundary point method to solve semidefinite programs. Computing 78, 277\u2013286 (2006). doi: 10.1007\/s00607-006-0182-2","journal-title":"Computing"},{"key":"9590_CR16","doi-asserted-by":"crossref","first-page":"209","DOI":"10.2140\/pjm.1970.33.209","volume":"33","author":"R.T. Rockafellar","year":"1970","unstructured":"Rockafellar, R.T.: On the maximal monotonicity of subdifferential mappings. Pac. J. Math. 33, 209\u2013216 (1970)","journal-title":"Pac. J. Math."},{"issue":"4","key":"9590_CR17","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1023\/A:1008777829180","volume":"7","author":"M.V. Solodov","year":"1999","unstructured":"Solodov, M.V., Svaiter, B.F.: A hybrid approximate extragradient\u2014proximal point algorithm using the enlargement of a maximal monotone operator. Set-Valued Anal. 7(4), 323\u2013345 (1999)","journal-title":"Set-Valued Anal."},{"issue":"1","key":"9590_CR18","first-page":"59","volume":"6","author":"M.V. Solodov","year":"1999","unstructured":"Solodov, M.V., Svaiter, B.F.: A hybrid projection-proximal point algorithm. J. Convex Anal. 6(1), 59\u201370 (1999)","journal-title":"J. Convex Anal."},{"key":"9590_CR19","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1023\/A:1026555124541","volume":"8","author":"B.F. Svaiter","year":"2000","unstructured":"Svaiter, B.F.: A family of enlargements of maximal monotone operators. Set-Valued Anal. 8, 311\u2013328 (2000). doi: 10.1023\/A:1026555124541","journal-title":"Set-Valued Anal."},{"key":"9590_CR20","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1080\/10556789908805762","volume":"11","author":"K.C. Toh","year":"1999","unstructured":"Toh, K.C., Todd, M.J., T\u00fct\u00fcnc\u00fc, R.H.: Sdpt3\u2014a Matlab software package for semidefinite programming. Optim. Methods Softw. 11, 545\u2013581 (1999)","journal-title":"Optim. Methods Softw."},{"key":"9590_CR21","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/s12532-010-0017-1","volume":"2","author":"Z. Wen","year":"2010","unstructured":"Wen, Z., Goldfarb, D., Yin, W.: Alternating direction augmented Lagrangian methods for semidefinite programming. Math. Program. Comput. 2, 203\u2013230 (2010). doi: 10.1007\/s12532-010-0017-1","journal-title":"Math. Program. Comput."},{"issue":"4","key":"9590_CR22","doi-asserted-by":"crossref","first-page":"1737","DOI":"10.1137\/080718206","volume":"20","author":"X.-Y. Zhao","year":"2010","unstructured":"Zhao, X.-Y., Sun, D., Toh, K.-C.: A Newton-CG augmented Lagrangian method for semidefinite programming. SIAM J. Optim. 20(4), 1737\u20131765 (2010). doi: 10.1137\/080718206 . URL: http:\/\/link.aip.org\/link\/?SJE\/20\/1737\/1","journal-title":"SIAM J. Optim."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-013-9590-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-013-9590-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-013-9590-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T14:37:35Z","timestamp":1559227055000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-013-9590-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,10]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,1]]}},"alternative-id":["9590"],"URL":"https:\/\/doi.org\/10.1007\/s10589-013-9590-3","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8,10]]}}}