{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T05:24:00Z","timestamp":1779168240246,"version":"3.51.4"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,7,26]],"date-time":"2016-07-26T00:00:00Z","timestamp":1469491200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2017,2]]},"DOI":"10.1007\/s10957-016-0989-8","type":"journal-article","created":{"date-parts":[[2016,7,26]],"date-time":"2016-07-26T19:03:06Z","timestamp":1469559786000},"page":"649-668","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["On the Central Paths in Symmetric Cone Programming"],"prefix":"10.1007","volume":"172","author":[{"given":"H\u00e9ctor","family":"Ram\u00edrez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Sossa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,7,26]]},"reference":[{"key":"989_CR1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534778.001.0001","volume-title":"Analysis on Symmetric Cones","author":"J Faraut","year":"1994","unstructured":"Faraut, J., Kor\u00e1nyi, A.: Analysis on Symmetric Cones. Clarendon Press, Oxford (1994)"},{"key":"989_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/moor.22.1.1","volume":"22","author":"YE Nesterov","year":"1997","unstructured":"Nesterov, Y.E., Todd, M.J.: Self-scaled barriers and interior-point methods for convex programming. Math. Oper. Res. 22, 1\u201342 (1997)","journal-title":"Math. Oper. Res."},{"key":"989_CR3","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1137\/S1052623495290209","volume":"8","author":"YE Nesterov","year":"1998","unstructured":"Nesterov, Y.E., Todd, M.J.: Primal-dual interior-point methods for self-scaled cones. SIAM J. Optim. 8, 324\u2013364 (1998)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"989_CR4","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1023\/A:1009701824047","volume":"1","author":"L Faybusovich","year":"1997","unstructured":"Faybusovich, L.: Euclidean Jordan algebras and interior-point algorithms. Positivity 1(4), 331\u2013357 (1997)","journal-title":"Positivity"},{"key":"989_CR5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0377-0427(97)00153-2","volume":"86","author":"L Faybusovich","year":"1997","unstructured":"Faybusovich, L.: Linear systems in Jordan algebras and primal-dual interior point algorithms. J. Comput. Appl. Math. 86, 149\u2013175 (1997)","journal-title":"J. Comput. Appl. Math."},{"key":"989_CR6","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1007\/s10107-003-0380-z","volume":"96","author":"SH Schmieta","year":"2003","unstructured":"Schmieta, S.H., Alizadeh, F.: Extension of primal-dual interior point algorithms to symmetric cones. Math. Program. 96, 409\u2013438 (2003)","journal-title":"Math. Program."},{"key":"989_CR7","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s00186-010-0334-1","volume":"73","author":"J Zhang","year":"2011","unstructured":"Zhang, J., Zhang, K.: Polynomial complexity of an interior point algorithm with a second order corrector step for symmetric cone programming. Math. Methods Oper. Res. 73, 75\u201390 (2011)","journal-title":"Math. Methods Oper. Res."},{"key":"989_CR8","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1007\/s10957-014-0670-z","volume":"166","author":"X Yang","year":"2015","unstructured":"Yang, X., Liu, H., Zhang, Y.: A new strategy in the complexity analysis of an infeasible-interior-point method for symmetric cone programming. J. Optim. Theory Appl. 166, 572\u2013587 (2015)","journal-title":"J. Optim. Theory Appl."},{"key":"989_CR9","doi-asserted-by":"crossref","first-page":"2327","DOI":"10.12785\/amis\/070624","volume":"7","author":"Z Yu","year":"2013","unstructured":"Yu, Z., Zhu, Y., Cao, Q.: On the convergence of central path and generalized proximal point method for symmetric cone linear programming. Appl. Math. Inf. Sci. 7, 2327\u20132333 (2013)","journal-title":"Appl. Math. Inf. Sci."},{"key":"989_CR10","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1016\/j.laa.2006.11.025","volume":"422","author":"M Baes","year":"2007","unstructured":"Baes, M.: Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras. Linear Algebra Appl. 422, 664\u2013700 (2007)","journal-title":"Linear Algebra Appl."},{"key":"989_CR11","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"RT Rockafellar","year":"1970","unstructured":"Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)"},{"key":"989_CR12","unstructured":"Auslender, A., Teboulle, M.: Asymptotic Cones and Functions in Optimization and Variational Inequalities. Springer Monographs in Mathematics (2003)"},{"key":"989_CR13","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1137\/S1052623495288866","volume":"7","author":"A Seeger","year":"1997","unstructured":"Seeger, A.: Convex analysis of spectrally defined matrix functions. SIAM J. Optim. 7, 679\u2013696 (1997)","journal-title":"SIAM J. Optim."},{"key":"989_CR14","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1080\/1055678031000122586","volume":"18","author":"A Auslender","year":"2003","unstructured":"Auslender, A.: Variational inequalities over the cone of semidefinite positive symmetric matrices and over the Lorentz cone. Optim. Methods Softw. 18, 359\u2013376 (2003)","journal-title":"Optim. Methods Softw."},{"key":"989_CR15","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1137\/120879397","volume":"23","author":"H Ram\u00edrez","year":"2013","unstructured":"Ram\u00edrez, H., Seeger, A., Sossa, D.: Commutation principle for variational problems on Euclidean Jordan algebras. SIAM J. Optim. 23, 687\u2013694 (2013)","journal-title":"SIAM J. Optim."},{"key":"989_CR16","first-page":"53","volume":"14","author":"Y-L Chang","year":"2013","unstructured":"Chang, Y.-L., Chen, J.-S.: Convexity of symmetric cone trace functions in Euclidean Jordan algebras. J. Nonlinear Convex Anal. 14, 53\u201361 (2013)","journal-title":"J. Nonlinear Convex Anal."},{"key":"989_CR17","first-page":"1","volume":"1","author":"JX Cruz Neto","year":"2008","unstructured":"Cruz Neto, J.X., Ferreira, O.P., Oliveira, P.R., Silva, R.C.M.: Central paths in semidefinite programming, generalized proximal-point method and Cauchy trajectories in Riemannian manifolds. J. Optim. Theory Appl. 1, 1\u201316 (2008)","journal-title":"J. Optim. Theory Appl."},{"key":"989_CR18","first-page":"524","volume":"46","author":"J L\u00f3pez","year":"2010","unstructured":"L\u00f3pez, J., Ram\u00edrez, H.: On the central paths and Cauchy trajectories in semidefinite programming. Kybernetika 46, 524\u2013535 (2010)","journal-title":"Kybernetika"},{"key":"989_CR19","volume-title":"Ensembles Semi-analitiques","author":"S Lojasiewicz","year":"1965","unstructured":"Lojasiewicz, S.: Ensembles Semi-analitiques. I.H.E.S, Bures-sur-Yvette (1965)"},{"key":"989_CR20","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1051\/ro:2006022","volume":"40","author":"EA Papa Quiroz","year":"2006","unstructured":"Papa Quiroz, E.A., Roberto Oliveira, P.: A new barrier for a class of semidefinite problems. RAIRO Oper. Res. 40, 303\u2013323 (2006)","journal-title":"RAIRO Oper. Res."},{"key":"989_CR21","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1137\/S1052623401390793","volume":"12","author":"M Halick\u00e1","year":"2002","unstructured":"Halick\u00e1, M., Klerk, E., Roos, C.: On the convergence of the central path in semidefinite optimization. SIAM J. Optim. 12, 1090\u20131099 (2002)","journal-title":"SIAM J. Optim."},{"key":"989_CR22","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1287\/moor.22.1.43","volume":"22","author":"A Auslender","year":"1997","unstructured":"Auslender, A., Cominetti, R., Haddou, M.: Asymptotic analysis for penalty and barrier methods in convex and linear programming. Math. Oper. Res. 22, 43\u201362 (1997)","journal-title":"Math. Oper. Res."},{"key":"989_CR23","first-page":"215","volume":"18","author":"E Klerk De","year":"1998","unstructured":"De Klerk, E., Roos, C., Terlaky, T.: Infeasible-start semidefinite programming algorithms via self-dual embeddings. Fields Inst. Commun. 18, 215\u2013236 (1998)","journal-title":"Fields Inst. Commun."},{"key":"989_CR24","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/10556780410001727718","volume":"20","author":"M Halick\u00e1","year":"2005","unstructured":"Halick\u00e1, M., De Klerk, E., Roos, C.: Limiting behavior of the central path in semidefinite optimization. Optim. Methods Softw. 20, 99\u2013113 (2005)","journal-title":"Optim. Methods Softw."},{"key":"989_CR25","doi-asserted-by":"crossref","first-page":"385414","DOI":"10.1137\/120890880","volume":"24","author":"T Terlaky","year":"2014","unstructured":"Terlaky, T., Wang, Z.: On the identification of the optimal partition of second order cone optimization problems. SIAM J. Optim. 24, 385414 (2014)","journal-title":"SIAM J. Optim."},{"key":"989_CR26","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s10107-005-0613-4","volume":"104","author":"JF Bonnans","year":"2005","unstructured":"Bonnans, J.F., Ram\u00edrez, H.: Perturbation analysis of second-Order cone programming problems. Math. Program. 104, 205\u2013227 (2005)","journal-title":"Math. Program."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0989-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-016-0989-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0989-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0989-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T13:14:09Z","timestamp":1718716449000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-016-0989-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,26]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,2]]}},"alternative-id":["989"],"URL":"https:\/\/doi.org\/10.1007\/s10957-016-0989-8","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,26]]}}}