{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T07:45:46Z","timestamp":1774683946394,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2007,3,2]],"date-time":"2007-03-02T00:00:00Z","timestamp":1172793600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2007,3,2]],"date-time":"2007-03-02T00:00:00Z","timestamp":1172793600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2007,6]]},"DOI":"10.1007\/s10589-007-9017-0","type":"journal-article","created":{"date-parts":[[2007,3,1]],"date-time":"2007-03-01T23:58:07Z","timestamp":1172793487000},"page":"139-156","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":75,"title":["The eigenvalue complementarity problem"],"prefix":"10.1007","volume":"37","author":[{"given":"Joaquim J.","family":"J\u00fadice","sequence":"first","affiliation":[]},{"given":"Hanif D.","family":"Sherali","sequence":"additional","affiliation":[]},{"given":"Isabel\u00a0M.","family":"Ribeiro","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,3,2]]},"reference":[{"key":"9017_CR1","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1137\/0911017","volume":"11","author":"J. Bard","year":"1990","unstructured":"Bard, J., Moore, J.: A branch-and-bound algorithm for the bilevel linear program. SIAM J. Sci. Stat. Comput. 11, 281\u2013292 (1990)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"9017_CR2","volume-title":"GAMS a User\u2019s Guide","author":"A. Brooke","year":"1998","unstructured":"Brooke, A., Kendrick, D., Meeraus, A., Raman, R.: GAMS a User\u2019s Guide. GAMS Development Corporation, New York (1998)"},{"key":"9017_CR3","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1007\/BF00940344","volume":"60","author":"S. Chung","year":"1989","unstructured":"Chung, S.: NP-completeness of the linear complementarity problems. J.\u00a0Optim. Theory Appl. 60, 393\u2013399 (1989)","journal-title":"J.\u00a0Optim. Theory Appl."},{"key":"9017_CR4","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/j.cma.2003.09.013","volume":"193","author":"A. Costa","year":"2004","unstructured":"Costa, A., Martins, J., Figueiredo, I., J\u00fadice, J.: The directional instability problem in systems with frictional contacts. Comput. Methods Appl. Mech. Eng. 193, 357\u2013384 (2004)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9017_CR5","volume-title":"The Linear Complementarity Problem","author":"R. Cottle","year":"1992","unstructured":"Cottle, R., Pang, J., Stone, R.: The Linear Complementarity Problem. Academic, New York (1992)"},{"key":"9017_CR6","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1080\/10556789508805606","volume":"5","author":"S. Dirkse","year":"1995","unstructured":"Dirkse, S., Ferris, M.: The path solver: a nonmonotone stabilization scheme for mixed complementarity problems. Optim. Softw. 5, 123\u2013156 (1995)","journal-title":"Optim. Softw."},{"key":"9017_CR7","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems","author":"F. Facchinei","year":"2003","unstructured":"Facchinei, F., Pang, J.: Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer, New York (2003)"},{"key":"9017_CR8","volume-title":"Matrix Computations","author":"G. Golub","year":"1996","unstructured":"Golub, G., Van Loan, C.: Matrix Computations. Johns Hopkins University Press, Baltimore (1996)"},{"key":"9017_CR9","doi-asserted-by":"publisher","first-page":"1194","DOI":"10.1137\/0913069","volume":"13","author":"P. Hansen","year":"1992","unstructured":"Hansen, P., Jaumard, B., Savard, G.: New branch-and-bound rules for linear bilevel programming. SIAM J. Sci. Comput. 13(5), 1194\u20131217 (1992)","journal-title":"SIAM J. Sci. Comput."},{"key":"9017_CR10","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF02098174","volume":"34","author":"J. J\u00fadice","year":"1992","unstructured":"J\u00fadice, J., Faustino, A.: A sequential LCP algorithm for bilevel linear programming. Ann. Oper. Res. 34, 89\u2013106 (1992)","journal-title":"Ann. Oper. Res."},{"issue":"1","key":"9017_CR11","first-page":"125","volume":"10","author":"J. J\u00fadice","year":"2002","unstructured":"J\u00fadice, J., Ribeiro, I., Faustino, A.: On the solution of NP-hard linear complementarity problems. TOP\u2014Sociedad de Estat\u00edstica e Investigacion Operativa 10(1), 125\u2013145 (2002)","journal-title":"TOP\u2014Sociedad de Estat\u00edstica e Investigacion Operativa"},{"key":"9017_CR12","doi-asserted-by":"crossref","unstructured":"J\u00fadice, J., Sherali, H., Ribeiro, I., Faustino, A.: A complementarity active-set algorithm for mathematical programming problems with equilibrium constraints. Working paper (2005)","DOI":"10.1007\/s10898-006-9001-8"},{"key":"9017_CR13","doi-asserted-by":"crossref","unstructured":"J\u00fadice, J., Sherali, H., Ribeiro, I., Faustino, A.: A complementarity-based partitioning and disjunctive cut algorithm for mathematical programming problems with equilibrium constraints. Working paper (2005)","DOI":"10.1007\/s10898-006-9001-8"},{"key":"9017_CR14","unstructured":"Murtagh, B., Saunders, A.: MINOS 5.0 user\u2019s guide. Technical report SOL 83-20R, Department of Operations Research, Stanford University (1987)"},{"key":"9017_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/b98874","volume-title":"Numerical Optimization","author":"J. Nocedal","year":"1999","unstructured":"Nocedal, J., Wright, S.: Numerical Optimization. Springer, New York (1999)"},{"key":"9017_CR16","doi-asserted-by":"crossref","first-page":"1849","DOI":"10.1090\/S0025-5718-03-01614-4","volume":"73","author":"M. Queiroz","year":"2003","unstructured":"Queiroz, M., J\u00fadice, J., Humes Jr., C.: The symmetric eigenvalue complementarity problem. Math. Comput. 73, 1849\u20131863 (2003)","journal-title":"Math. Comput."},{"key":"9017_CR17","unstructured":"Ribeiro, I.: Global optimization and applications to structural engineering (in Portuguese). Ph.D. thesis, University of Porto, Porto (2005)"},{"key":"9017_CR18","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BF00121304","volume":"2","author":"H.D. Sherali","year":"1992","unstructured":"Sherali, H.D., Tuncbilek, C.H.: A global optimization algorithm for polynomial programming problems using a reformulation\u2013linearization technique. J.\u00a0Glob. Optim. 2, 101\u2013112 (1992)","journal-title":"J.\u00a0Glob. Optim."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9017-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10589-007-9017-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9017-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9017-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,18]],"date-time":"2022-05-18T01:33:11Z","timestamp":1652837591000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10589-007-9017-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3,2]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,6]]}},"alternative-id":["9017"],"URL":"https:\/\/doi.org\/10.1007\/s10589-007-9017-0","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,3,2]]},"assertion":[{"value":"14 June 2005","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 December 2005","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2007","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}