{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T03:11:01Z","timestamp":1761621061909},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,3,25]],"date-time":"2011-03-25T00:00:00Z","timestamp":1301011200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2011,7]]},"DOI":"10.1007\/s10957-011-9815-5","type":"journal-article","created":{"date-parts":[[2011,3,24]],"date-time":"2011-03-24T15:55:43Z","timestamp":1300982143000},"page":"142-155","source":"Crossref","is-referenced-by-count":9,"title":["Outer Trust-Region Method for Constrained Optimization"],"prefix":"10.1007","volume":"150","author":[{"given":"Ernesto G.","family":"Birgin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emerson V.","family":"Castelani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9 L. M.","family":"Martinez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. M.","family":"Mart\u00ednez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,3,25]]},"reference":[{"key":"9815_CR1","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s10589-009-9271-4","volume":"46","author":"E.V. Castelani","year":"2010","unstructured":"Castelani, E.V., Martinez, A.L., Mart\u00ednez, J.M., Svaiter, B.F.: Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. Comput. Optim. Appl. 46, 229\u2013245 (2010)","journal-title":"Comput. Optim. Appl."},{"key":"9815_CR2","volume-title":"Nonlinear Programming","author":"D.P. Bertsekas","year":"1999","unstructured":"Bertsekas, D.P.: Nonlinear Programming, 2nd edn. Athena Scientific, Belmont (1999)","edition":"2"},{"key":"9815_CR3","unstructured":"Birgin, E.G., Castelani, E.V., Martinez, A.L., Mart\u00ednez, J.M.: Outer trust-region method for constrained optimization. Technical Report MCDO251110, Department of Applied Mathematics, State University of Campinas (2010)"},{"key":"9815_CR4","first-page":"283","volume-title":"Optimization","author":"M.J.D. Powell","year":"1969","unstructured":"Powell, M.J.D.: A\u00a0method for nonlinear constraints in minimization problems. In: Fletcher, R. (ed.) Optimization, pp. 283\u2013298. Academic Press, New York (1969)"},{"key":"9815_CR5","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/BF00927673","volume":"4","author":"M.R. Hestenes","year":"1969","unstructured":"Hestenes, M.R.: Multiplier and gradient methods. J. Optim. Theory Appl. 4, 303\u2013320 (1969)","journal-title":"J. Optim. Theory Appl."},{"key":"9815_CR6","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1137\/0312021","volume":"12","author":"R.T. Rockafellar","year":"1974","unstructured":"Rockafellar, R.T.: Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM J. Control Optim. 12, 268\u2013285 (1974)","journal-title":"SIAM J. Control Optim."},{"key":"9815_CR7","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1137\/060654797","volume":"18","author":"R. Andreani","year":"2007","unstructured":"Andreani, R., Birgin, E.G., Mart\u00ednez, J.M., Schuverdt, M.L.: On Augmented Lagrangian methods with general lower-level constraints. SIAM J. Optim. 18, 1286\u20131309 (2007)","journal-title":"SIAM J. Optim."},{"key":"9815_CR8","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s10107-009-0264-y","volume":"125","author":"E.G. Birgin","year":"2010","unstructured":"Birgin, E.G., Floudas, C.A., Mart\u00ednez, J.M.: Global minimization using an Augmented Lagrangian method with variable lower-level constraints. Math. Program. 125, 139\u2013162 (2010)","journal-title":"Math. Program."},{"key":"9815_CR9","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1023\/A:1019928808826","volume":"23","author":"E.G. Birgin","year":"2002","unstructured":"Birgin, E.G., Mart\u00ednez, J.M.: Large-scale active-set box-constrained optimization method with spectral projected gradients. Comput. Optim. Appl. 23, 101\u2013125 (2002)","journal-title":"Comput. Optim. Appl."},{"key":"9815_CR10","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1023\/A:1022686919295","volume":"97","author":"J.M. Mart\u00ednez","year":"1998","unstructured":"Mart\u00ednez, J.M., Santos, L.T.: Some new theoretical results on recursive quadratic programming algorithms. J. Optim. Theory Appl. 97, 435\u2013454 (1998)","journal-title":"J. Optim. Theory Appl."},{"key":"9815_CR11","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1080\/10556780701577730","volume":"23","author":"E.G. Birgin","year":"2008","unstructured":"Birgin, E.G., Mart\u00ednez, J.M.: Improving ultimate convergence of an Augmented Lagrangian method. Optim. Methods Softw. 23, 177\u2013195 (2008)","journal-title":"Optim. Methods Softw."},{"key":"9815_CR12","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1145\/962437.962439","volume":"29","author":"N.I.M. Gould","year":"2003","unstructured":"Gould, N.I.M., Orban, D., Toint, Ph.L.: CUTEr and SifDec: a\u00a0constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. 29, 373\u2013394 (2003)","journal-title":"ACM Trans. Math. Softw."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9815-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-011-9815-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9815-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T09:55:10Z","timestamp":1559469310000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-011-9815-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,3,25]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["9815"],"URL":"https:\/\/doi.org\/10.1007\/s10957-011-9815-5","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,3,25]]}}}