{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T20:21:55Z","timestamp":1768076515298,"version":"3.49.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T00:00:00Z","timestamp":1618272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T00:00:00Z","timestamp":1618272000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100009068","name":"Consejo Nacional de Innovaci\u00f3n, Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100009068","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s11590-021-01737-w","type":"journal-article","created":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T22:03:12Z","timestamp":1618351392000},"page":"589-610","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming"],"prefix":"10.1007","volume":"16","author":[{"given":"R.","family":"Andreani","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1195-3347","authenticated-orcid":false,"given":"G.","family":"Haeser","sequence":"additional","affiliation":[]},{"given":"L. M.","family":"Mito","sequence":"additional","affiliation":[]},{"given":"H.","family":"Ram\u00edrez","sequence":"additional","affiliation":[]},{"given":"D. O.","family":"Santos","sequence":"additional","affiliation":[]},{"given":"T. P.","family":"Silveira","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,13]]},"reference":[{"issue":"1","key":"1737_CR1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s10107-002-0339-5","volume":"95","author":"F Alizadeh","year":"2003","unstructured":"Alizadeh, F., Goldfarb, D.: Second-order cone programming. Math. Program. 95(1), 3\u201351 (2003)","journal-title":"Math. Program."},{"issue":"51","key":"1737_CR2","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1080\/0233193021000030751","volume":"4","author":"ED Andersen","year":"2002","unstructured":"Andersen, E.D., Roos, C., Terlaky, T.: Notes on duality in second order and p-order cone optimization. Optimization 4(51), 627\u2013643 (2002)","journal-title":"Optimization"},{"key":"1737_CR3","doi-asserted-by":"crossref","unstructured":"Andreani, R., Fukuda, E.H., Haeser, G., Ram\u00edrez, H., Santos, D.O., Silva, P.J.S., Silveira, T.P.: Erratum to: New constraint qualifications and optimality conditions for second order cone programs. submitted to Set-Valued and Variational Analysis (2020)","DOI":"10.1007\/s11228-021-00573-5"},{"key":"1737_CR4","unstructured":"Andreani, R., Fukuda, E.H., Haeser, G., Santos, D.O., Secchin, L.D.: Optimality conditions for nonlinear second-order cone programming and symmetric cone programming. Optimization Online (2019)"},{"issue":"5","key":"1737_CR5","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1080\/02331930903578700","volume":"60","author":"R Andreani","year":"2011","unstructured":"Andreani, R., Haeser, G., Mart\u00ednez, J.M.: On sequential optimality conditions for smooth constrained optimization. Optimization 60(5), 627\u2013641 (2011)","journal-title":"Optimization"},{"issue":"4","key":"1737_CR6","doi-asserted-by":"publisher","first-page":"1902","DOI":"10.1093\/imanum\/drx011","volume":"37","author":"R Andreani","year":"2017","unstructured":"Andreani, R., Haeser, G., Ramos, A., Silva, P.J.S.: A second-order sequential optimality condition associated to the convergence of algorithms. IMA J. Numer. Anal. 37(4), 1902\u20131929 (2017)","journal-title":"IMA J. Numer. Anal."},{"issue":"1\u20132","key":"1737_CR7","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s10107-011-0456-0","volume":"135","author":"R Andreani","year":"2012","unstructured":"Andreani, R., Haeser, G., Schuverdt, M., Silva, P.: A relaxed constant positive linear dependence constraint qualification and applications. Math. Program. 135(1\u20132), 255\u2013273 (2012)","journal-title":"Math. Program."},{"issue":"3","key":"1737_CR8","doi-asserted-by":"publisher","first-page":"1109","DOI":"10.1137\/110843939","volume":"22","author":"R Andreani","year":"2012","unstructured":"Andreani, R., Haeser, G., Schuverdt, M.L., Silva, P.J.S.: Two new weak constraint qualifications and applications. SIAM J. Optim. 22(3), 1109\u20131135 (2012)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1737_CR9","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/s10107-018-1354-5","volume":"180","author":"R Andreani","year":"2020","unstructured":"Andreani, R., Haeser, G., Viana, D.S.: Optimality conditions and global convergence for nonlinear semidefinite programming. Math. Program. 180(1), 203\u2013235 (2020)","journal-title":"Math. Program."},{"key":"1737_CR10","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1080\/02331930701618617","volume":"56","author":"R Andreani","year":"2007","unstructured":"Andreani, R., Mart\u00ednez, J.M., Schuverdt, M.L.: On second-order optimality conditions for nonlinear programming. Optimization 56, 529\u2013542 (2007)","journal-title":"Optimization"},{"key":"1737_CR11","unstructured":"Bonnans, J.F., Ram\u00edrez, H.: Strong regularity of semidefinite programs. Technical report DIM-CMM B-05-06-137, (2005)"},{"issue":"2","key":"1737_CR12","doi-asserted-by":"publisher","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(2), 205\u2013227 (2005)","journal-title":"Math. Program."},{"key":"1737_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1394-9","volume-title":"Perturbation Analysis of Optimization Problems","author":"JF Bonnans","year":"2000","unstructured":"Bonnans, J.F., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer Verlag, New York (2000)"},{"issue":"3","key":"1737_CR14","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1016\/j.ejor.2011.09.017","volume":"216","author":"J Gondzio","year":"2012","unstructured":"Gondzio, J.: Interior point methods 25 years later. European Journal of Operational Research 216(3), 587\u2013601 (2012)","journal-title":"European Journal of Operational Research"},{"key":"1737_CR15","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1007\/BFb0121214","volume":"21","author":"R Janin","year":"1984","unstructured":"Janin, R.: Direction derivate of the marginal function in nonlinear programming. Math. Program. Study 21, 110\u2013126 (1984)","journal-title":"Math. Program. Study"},{"issue":"2","key":"1737_CR16","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1007\/s10107-009-0288-3","volume":"126","author":"S Lu","year":"2011","unstructured":"Lu, S.: Implications of the constant rank constraint qualification. Math. Program. 126(2), 365\u2013392 (2011)","journal-title":"Math. Program."},{"key":"1737_CR17","doi-asserted-by":"publisher","first-page":"1199","DOI":"10.1007\/s10957-019-01519-6","volume":"182","author":"L Minchenko","year":"2019","unstructured":"Minchenko, L.: Note on Mangasarian-Fromovitz-like constraint qualifications. J. Optim. Theory Appl. 182, 1199\u20131204 (2019)","journal-title":"J. Optim. Theory Appl."},{"issue":"4","key":"1737_CR18","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1080\/02331930902971377","volume":"60","author":"L Minchenko","year":"2011","unstructured":"Minchenko, L., Stakhovski, S.: On relaxed constant rank regularity condition in mathematical programming. Optimization 60(4), 429\u2013440 (2011)","journal-title":"Optimization"},{"key":"1737_CR19","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1137\/090761318","volume":"1","author":"L Minchenko","year":"2011","unstructured":"Minchenko, L., Stakhovski, S.: Parametric nonlinear programming problems under the relaxed constant rank condition. SIAM J. Optim. 1, 314\u2013332 (2011)","journal-title":"SIAM J. Optim."},{"key":"1737_CR20","unstructured":"Nocedal, J., Wright, S.: Numerical Optimization. Springer Science & Business Media, Berlin (2006) (2006)"},{"issue":"4","key":"1737_CR21","doi-asserted-by":"publisher","first-page":"963","DOI":"10.1137\/S1052623497326629","volume":"10","author":"L Qi","year":"2000","unstructured":"Qi, L., Wei, Z.: On the constant positive linear dependence conditions and its application to SQP methods. SIAM J. Optim. 10(4), 963\u2013981 (2000)","journal-title":"SIAM J. Optim."},{"issue":"7","key":"1737_CR22","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1137\/S1052623495288350","volume":"3","author":"MV Ramana","year":"1997","unstructured":"Ramana, M.V., Tun\u00e7el, L., Wolkowicz, H.: Strong duality for semidefinite programming. SIAM J. Optim. 3(7), 641\u2013662 (1997)","journal-title":"SIAM J. Optim."},{"key":"1737_CR23","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1137\/0713043","volume":"13","author":"SM Robinson","year":"1976","unstructured":"Robinson, S.M.: Stability theorems for systems of inequalities, Part II: differentiable nonlinear systems. SIAM J. Numer. Anal. 13, 497\u2013513 (1976)","journal-title":"SIAM J. Numer. Anal."},{"key":"1737_CR24","doi-asserted-by":"crossref","unstructured":"Robinson, S.M.: Generalized equations and their solutions, Part II: applications to nonlinear programming. In: Optimality and stability in mathematical programming, pp. 200\u2013221. Springer (1982)","DOI":"10.1007\/BFb0120989"},{"issue":"2","key":"1737_CR25","first-page":"301","volume":"77","author":"A Shapiro","year":"1997","unstructured":"Shapiro, A.: First and second-order analysis of nonlinear semidefinite programs. Math. Program. 77(2), 301\u2013320 (1997)","journal-title":"Math. Program."},{"key":"1737_CR26","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1137\/0805028","volume":"5","author":"A Shapiro","year":"1995","unstructured":"Shapiro, A., Fan, M.K.H.: On eigenvalue optimization. SIAM J. Optim. 5, 552\u2013569 (1995)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"1737_CR27","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1007\/s10589-013-9568-1","volume":"56","author":"H Wu","year":"2013","unstructured":"Wu, H., Luo, H., Ding, X., Chen, G.: Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programmings. Comput. Optim. Appl. 56(3), 531\u2013558 (2013)","journal-title":"Comput. Optim. Appl."},{"key":"1737_CR28","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1007\/s11228-018-0487-2","volume":"27","author":"Y Zhang","year":"2019","unstructured":"Zhang, Y., Zhang, L.: New constraint qualifications and optimality conditions for second order cone programs. Set-Valued Var. Anal. 27, 693\u2013712 (2019)","journal-title":"Set-Valued Var. Anal."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-021-01737-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11590-021-01737-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-021-01737-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,16]],"date-time":"2022-02-16T13:27:42Z","timestamp":1645018062000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11590-021-01737-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,13]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["1737"],"URL":"https:\/\/doi.org\/10.1007\/s11590-021-01737-w","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,13]]},"assertion":[{"value":"12 September 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 April 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 April 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}