{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T12:39:16Z","timestamp":1769085556155,"version":"3.49.0"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2013,6,4]],"date-time":"2013-06-04T00:00:00Z","timestamp":1370304000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Program."],"published-print":{"date-parts":[[2014,8]]},"DOI":"10.1007\/s10107-013-0687-3","type":"journal-article","created":{"date-parts":[[2013,6,3]],"date-time":"2013-06-03T15:35:28Z","timestamp":1370273728000},"page":"299-323","source":"Crossref","is-referenced-by-count":4,"title":["On the stable solution of large scale problems over the doubly nonnegative cone"],"prefix":"10.1007","volume":"146","author":[{"given":"Thomas","family":"Davi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florian","family":"Jarre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,6,4]]},"reference":[{"key":"687_CR1","first-page":"111","volume":"77","author":"F Alizadeh","year":"1997","unstructured":"Alizadeh, F., Haeberly, J.-P., Overton, M.L.: Complementarity and nondegeneracy in semidefinite programming. Math. Prog. Ser. A 77, 111\u2013128 (1997)","journal-title":"Math. Prog. Ser. A"},{"issue":"2","key":"687_CR2","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s10107-008-0223-z","volume":"120","author":"S Burer","year":"2009","unstructured":"Burer, S.: On the copositive representation of binary and continuous nonconvex quadratic programs. Math. Prog. Ser. A 120(2), 479\u2013495 (2009)","journal-title":"Math. Prog. Ser. A"},{"key":"687_CR3","unstructured":"Davi, T.: L\u00f6sung gro\u00dfer konischer Programme mit Hilfe primal-dualer Methoden, Dissertation, Universit\u00e4t D\u00fcsseldorf (2012)"},{"issue":"4\u20136","key":"687_CR4","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1080\/10556788.2011.610457","volume":"27","author":"T Davi","year":"2012","unstructured":"Davi, T., Jarre, F.: High accuracy solution of large scale semidefinite programs. Optim. Methods Softw. 27(4\u20136), 655\u2013666 (2012)","journal-title":"Optim. Methods Softw."},{"key":"687_CR5","unstructured":"Duer, M., Jargalsaikhan, B., Still, G.: The Slater condition is generic in linear conic programming (2012). (preprint). http:\/\/www.optimization-online.org\/DB_HTML\/2012\/11\/3675.html"},{"key":"687_CR6","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF01385726","volume":"60","author":"RW Freund","year":"1991","unstructured":"Freund, R.W., Nachtigal, N.M.: QMR: a quasi-minimal residual method for non-Hermitian linear systems. Numerische Mathematik 60, 315\u2013339 (1991)","journal-title":"Numerische Mathematik"},{"key":"687_CR7","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1137\/0915022","volume":"15","author":"RW Freund","year":"1994","unstructured":"Freund, R.W., Nachtigal, N.M.: An implementation of the QMR method based on coupled two-term recurrences. SIAM J. Sci. Comput. 15, 313\u2013337 (1994)","journal-title":"SIAM J. Sci. Comput."},{"key":"687_CR8","doi-asserted-by":"crossref","unstructured":"Hiriart-Urruty, J.-B., Lemarechal, C.: Fundamentals of Convex Analysis. Springer, Berlin (2001)","DOI":"10.1007\/978-3-642-56468-0"},{"key":"687_CR9","doi-asserted-by":"crossref","first-page":"808","DOI":"10.1137\/070687128","volume":"9","author":"F Jarre","year":"2008","unstructured":"Jarre, F., Rendl, F.: An augmented primal-dual method for linear conic programs. SIAM J. Optim. 9, 808\u2013823 (2008)","journal-title":"SIAM J. Optim."},{"key":"687_CR10","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0012-365X(92)00057-X","volume":"124","author":"L Lovasz","year":"1994","unstructured":"Lovasz, L.: Stable sets and polynomials. Discret. Math. 124, 137\u2013153 (1994)","journal-title":"Discret. Math."},{"issue":"1","key":"687_CR11","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. Opt. 20(1), 336\u2013356 (2009)","journal-title":"SIAM J. Opt."},{"key":"687_CR12","doi-asserted-by":"crossref","unstructured":"Nemirovskii, A., Nesterov, Y.: Interior-Point Polynomial Algorithms in Convex Programming. SIAM, Philadelphia (1994)","DOI":"10.1137\/1.9781611970791"},{"key":"687_CR13","unstructured":"Polik, I.: SeDuMi, 2011. Download from http:\/\/sedumi.ie.lehigh.edu\/"},{"key":"687_CR14","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L Qi","year":"1993","unstructured":"Qi, L., Sun, J.: A nonsmooth version of Newton\u2019s method. Math. Program. 58, 353\u2013367 (1993)","journal-title":"Math. Program."},{"key":"687_CR15","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1007\/BF01498415","volume":"79","author":"H Rademacher","year":"1919","unstructured":"Rademacher, H.: \u00dcber partielle und totale Differenzierbarkeit von Funktionen mehrerer Variabeln und \u00fcber die Transformation der Doppelintegrale. Math. Ann. 79, 340\u2013359 (1919)","journal-title":"Math. Ann."},{"issue":"3","key":"687_CR16","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1007\/s00186-008-0209-x","volume":"68","author":"K Schmallowsky","year":"2009","unstructured":"Schmallowsky, K.: On the regularity of second order cone programs and an application to solving large scale problems. Math. Methods Oper. Res. 68(3), 551\u2013564 (2009)","journal-title":"Math. Methods Oper. Res."},{"key":"687_CR17","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1080\/10556789908805766","volume":"11\u201312","author":"J Sturm","year":"1999","unstructured":"Sturm, J.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optim. Methods Softw. 11\u201312, 625\u2013653 (1999)","journal-title":"Optim. Methods Softw."},{"key":"687_CR18","unstructured":"Sun, D., Sun, J.: Semismooth matrix-valued functions. Math. Oper. Res. 27(1), 150\u2013169 (2002)"},{"key":"687_CR19","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, 1737\u20131765 (2010)","journal-title":"SIAM J. Optim."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-013-0687-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10107-013-0687-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-013-0687-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,14]],"date-time":"2019-07-14T12:40:13Z","timestamp":1563108013000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10107-013-0687-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,4]]},"references-count":19,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,8]]}},"alternative-id":["687"],"URL":"https:\/\/doi.org\/10.1007\/s10107-013-0687-3","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6,4]]}}}